A17­5LinearInequalities.notebook
January 06, 2016
Algebra 1
Ch.7 Notes Page 43
P43 7­5 Linear Inequalities
Sep 2­8:31 AM
Linear Inequalities
A Linear Inequality is an inequality whose graph is a region of the coordinate plane that is bounded by a line.
> or < use a dashed line
> or < use a solid line
When y is by itself
If y is > or > shade above the line
If y is < or < shade below
You can also pick a check point and see if it works.
Feb 16­11:27 AM
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A17­5LinearInequalities.notebook
January 06, 2016
Linear Inequality
y > 2x + 3
y < 3x ­ 1
Feb 16­11:27 AM
Linear Inequality
y > ­2x + 4
y < 1/3x ­ 1
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A17­5LinearInequalities.notebook
January 06, 2016
Standard Form and Graphing Inequalities
­3x + 6y < 6
2x + 4y > 8
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Negatives
When you multiply or divide on both sides of a negative in inequality problems, the sign switches directions.
5x ­ 8y < 16
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A17­5LinearInequalities.notebook
January 06, 2016
Rewriting to Graph an Inequality
­3x + ­5y < 10
Feb 16­11:53 AM
Budget
Your budget for a party allows you to spend no more than $12 on peanuts and cashews. Peanuts cost $2/lb and cashews cost $4/lb. Find at least 3 different combinations of peanuts and cashews that you can buy.
x = peanuts in lbs
y = cashews in lbs
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