3.7 Absolute Value Equations and Inequalities I can solve equations and inequalities involving absolute value.

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Presentation transcript:

3.7 Absolute Value Equations and Inequalities I can solve equations and inequalities involving absolute value.

Solving an Absolute Value Equation What are the solutions of |x| + 2 = 9 Solve using inverse operations |x| = 7 so… what is x? x = 7 or x = -7 Why?

Key Concept What about |2x – 5| = 13? To solve an equation in the form |A| = b, where A represents a variable expression, solve both A = b and A = -b. 2x – 5 =13 and 2x – 5 = -13 x = 9 or x = -4

Absolute Value Equations

Compound Inequalities Absolute value inequalities can be written as compound inequalities. |n – 1| < 2 can be written -2 < n – 1 < 2 Add 1 to each part: -1 < n < 3

You try! Solve and graph |n – 2| > 7 -7 > n – 2 > 7 -5 > n > 9

Application

Assignment ODDS ONLY P. 211 #17-21,33-39, 47-59