section 1.3.1 – linear inequalities (nc) [all answers written in interval notation] given the 12...

Section 1.3.1 – Linear Inequalities (NC)[All answers written in interval notation]

Given the 12 examples on the next slide, discuss the followingwithin your group. You have four minutes:1.When do you use parenthesis? ( )2.When do you use brackets? [ ]3.When do you use4.Which of the 12 examples is INCORRECT?

? ?

InequalityInterval Notation


3,

2 x 5 2, 5

x 3

x 1 , 1

x 2 2,

0 x 4 0, 4

x 5 , 5

x 2 , 2

x 0 0,

6 x 9 6, 9

x 3 , 3

5 x 6 5, 6

8 x 12 8,12


4 x 1

x 9

x 3

x 3

4 x 7

x 2 , 2

9,

4, 1

3,

,3

4, 7

Based upon your findings on theprevious slide, write each inequalityusing interval notation.

Unbounded

Unbounded

Unbounded

Unbounded

Bounded

Bounded

How do you know if an equality is bounded or unbounded?

3x 5 13

3x 5 13 3x 18 x 6

19x 1 16x 2

2

9x 1 8x 1

x 0

1 2x 3 9

2 2x 6 1 x 3

9x 8 7x 16 2x 24x 12

6, 0,

1, 3 ,12

15x 8 6x 10 19 3x 17 34

2x 53 5

3

2 x 3 3 x 7

9x 18 x 2

2,

2 3x 51 2

x 173

2,17

3

9 2x 5 15 4 2x 20 2 x 10 2,10

2x 6 3x 21 x 15 x 15

15,

Find all integers which satisfy x 6

-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5

(-6, 6)

Solve for x, writing your answer using interval notation.

2x 12 6


x 6

6 2x 12 6

6 2x 18 3 x 9

(3, 9)

Find all integers which satisfy x 6

…-10, -9, -8, -7 7, 8, 9, 10, …


5x 26 6


x 6

5x 26 6 5x 26 6

5x 32 5x 20

, 6 , 6,

32x

5

x 4

32, , 4,

5

Ellipsis

2x 1 7 4x 3 9

3x 5 3 2x 9 13

7 2x 1 7

6 2x 8

3

3,

x

4

4

4x 3 9 4x 3 9

4x 12 4x 6

3x

3, 3 , ,

2

3 x2

No Solution

How can an absolute valueBe LESS than a

NEGATIVE number?

2x 9 13 2x 9 13

2x 4 2x 22

x 2 x 11

, 2 , 11,

section 1.3.1 – linear inequalities (nc) [all answers written in interval notation] given the 12...

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