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Absolute-Value Equations and Inequalities

# Absolute-Value Equations and Inequalities

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Absolute-Value Equations and Inequalities. Mental Math Solving. Think  What values could x be that would make the equation true? HINT: There are two! ANSWER: 5 or -5. Mental Math Solving (More Example).  x = 7 or -7  x = 9 or -9  x = 18 or -18. Solving an Absolute-Value Equation. - PowerPoint PPT Presentation

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Absolute-Value Equations and Inequalities

Mental Math Solving

–Think What values could x be that would make the equation true? HINT: There are two!

Mental Math Solving (More Example)

• x = 7 or -7• x = 9 or -9• x = 18 or -18

Solving an Absolute-Value Equation

– This means that can equal 5 or -5.

x – 2 IS POSITIVE x – 2 IS NEGATIVE

SOLUTION: x = 7 or x = -3

Solving an Absolute-Value Equation

2x – 7 IS POSITIVE 2x – 7 IS NEGATIVE

POSITIVE NEGATIVE

x – 4 IS POSITIVE x – 4 IS NEGATIVE

Solution :1<x<7

2x + 1 IS POSITIVE 2x + 1 IS NEGATIVE

POSITIVE NEGATIVE

Homework Assignment

• Pg. 356 – 357–Numbers: 24 – 36 and 46 – 46

evens

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