11 x1 t01 06 equations and inequations (2010)
TRANSCRIPT
![Page 1: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/1.jpg)
Equations/Inequations
![Page 2: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/2.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
![Page 3: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/3.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x
![Page 4: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/4.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x
![Page 5: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/5.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x 3x
![Page 6: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/6.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z
3x
![Page 7: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/7.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
![Page 8: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/8.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a
![Page 9: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/9.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
![Page 10: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/10.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
![Page 11: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/11.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
![Page 12: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/12.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
![Page 13: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/13.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
![Page 14: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/14.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y
![Page 15: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/15.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
![Page 16: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/16.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
![Page 17: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/17.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
![Page 18: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/18.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
3 9 10 30x x
![Page 19: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/19.jpg)
Equations/InequationsMake the pronumeral the subject of the formula
e.g. ( ) 3 6i x 6 3x
( ) 5 45ii z 455
z
9z
3x
( ) 4 5 16iii a 4 20 16a
4 36a 9a
( ) 3 2 9iv z z
2 11z 112
z
5 2( ) 37
vy y
5 14 21y 21 19y
1921
y
3 2 6( ) 5 3
x xvi
3 9 10 30x x
7 39x 397
x
![Page 20: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/20.jpg)
The inequality sign will only change when:
![Page 21: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/21.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
![Page 22: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/22.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
![Page 23: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/23.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x
![Page 24: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/24.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
![Page 25: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/25.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
![Page 26: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/26.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x
![Page 27: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/27.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
![Page 28: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/28.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
1 2x
![Page 29: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/29.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
1 2x 2 1x
![Page 30: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/30.jpg)
The inequality sign will only change when:1) Multiply or divide by a negative number
“if you change the sign, you change the sign”
2) The reciprocal of both sides are taken
e.g. ( ) 6 36i x 6x
5 6 7
( ) 2 6 4 14ii x 4 4 8x
1 2x 2 1x
-2 1
![Page 31: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/31.jpg)
The “correct” way of writing inequalities
![Page 32: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/32.jpg)
The “correct” way of writing inequalities
4 5 6
![Page 33: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/33.jpg)
The “correct” way of writing inequalities
4 5 65x
![Page 34: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/34.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
![Page 35: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/35.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 6
![Page 36: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/36.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
![Page 37: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/37.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x
![Page 38: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/38.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
![Page 39: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/39.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 6
![Page 40: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/40.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
![Page 41: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/41.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
6 or 4NOT x x
![Page 42: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/42.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
6 or 4NOT x x
4 6NOT x
![Page 43: 11 X1 T01 06 equations and inequations (2010)](https://reader035.vdocuments.site/reader035/viewer/2022081404/559138691a28ab07498b46a2/html5/thumbnails/43.jpg)
The “correct” way of writing inequalities
4 5 65x
5NOT x
4 5 64 6x
6 4NOT x 4 or 6NOT x x
4 5 64 or 6x x
6 or 4NOT x x
4 6NOT x
Exercise 1F; 3acdijm, 4afkp,5behlp, 6acf, 7bcegh, 8aceg,
9bdfhj, 10a, 11*