1.7_bzca5e

# 1.7_bzca5e - Section 1.7 Linear Inequalities and Absolute...

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Section 1.7 Linear Inequalities and Absolute Value Inequalities

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Interval Notation

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Example Express the interval in set builder notation and graph: ] ( [ ] ( 29 3,2 0,4 ,2 - -∞
Intersections and Unions of Intervals

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Example Find the set: ] ( [ 29 2,3 0,4 - U
Example Find the set: ] ( [ 29 2,3 0,4 - I

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Solving Linear Inequalities in One Variable
A linear inequality in x can be written in one of the following forms: ax+b<0, ax+b 0, ax+b>0 ax+b 0. In each form a 0. Example: -x+7 0 -x -7 x 7 When we multiply or divide b oth sides of an inequality by a negative number, the direction of the inequality symbol is reversed.

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Example Solve and graph the solution set on a number line: 4 5 7 x x - ≥ +
Checking the solution of a linear inequality on a Graphing Calculator 1 2 2 1 4 y x y x = + = - + 2 1 4 x x + - + Y1=2x+1 Y2=-x+4 The region on the graph of the red box is where y1 is greater than y2. This is when x is greater than 1. The intersection of the two lines is at

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1.7_bzca5e - Section 1.7 Linear Inequalities and Absolute...

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