warm up # 1
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Warm Up # 1. The perimeter of a rectangle is 32. The length is 1 more than twic e the width. What are the dimensions of the rectangle? Solve the system: . Homework Check . Essential Question. How can we represent the solution to a system of linear inequalities?. Graphing Linear - PowerPoint PPT PresentationTRANSCRIPT
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Warm Up # 1
1. The perimeter of a rectangle is 32. The length is 1 more than twice the width. What are the dimensions of the rectangle?
2. Solve the system:
12332
yxxy
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Homework Check
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Essential Question
How can we represent the solution to a system of linear inequalities?
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GRAPHING LINEAR
INEQUALITIES
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Step 1) Put the inequalities into slope-intercept form.
y = mx + bslope
y-intercept
We show the solution to a linear inequality with a graph.
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Step 2) Graph the line
a) If the inequality is < or >, make the lines dotted.
b) If the inequality is < or >, make the lines solid.
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Step 3) Shade the correct region of the graph:
a) Above the line b) Below the linefor y > or y . for y < or y ≤.
**This is because more then 1 ordered pair can be a solution!
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Examples:
1) y > -5x + 4
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Examples:
2) x < 4 3) y ≥ -3
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SYSTEMS OF INEQUALITIES
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We show the solution to a system of linear inequalities with a graph!
![Page 12: Warm Up # 1](https://reader035.vdocuments.site/reader035/viewer/2022062521/568163ea550346895dd55ce4/html5/thumbnails/12.jpg)
Steps to Graphing a System of Inequalities:1) Put the inequalities into slope-
intercept form.2) Decide if the lines should be dotted or
solid3) Shade above for y > or y , shade
below for y < or y ≤.4) Shade the overlapping section darker
to show where the solutions to both inequalities lie.
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Example #1: a: 3x + 4y > - 4
b: x + 2y < 2
Put in Slope-Intercept Form:
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a: dotted
shade above
b:dottedshade below
Graph each line, make dotted or solid and shade the correct area.
Example, continued:
3: 14
a y x 1: 12
b y x
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3: 14
a y x
1: 12
b y x
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#2 Graph the system of
linear inequalities.
x –1y > x – 2
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#3x > -2y < 6-2x + y > -5
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#4 y ≥ -x + 4y < 3x - 2
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#5
x – y > 37x – y ≤ -3
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#6
7x + 2y < -10-x + 2y ≤ 11
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Classwork: Solving Systems of Inequalities Worksheet
Homework:
Unit 7 TEST -