22 Solve an Absolute Value Equation Examples Solve the following equations a \u01c0

22 solve an absolute value equation examples solve

This preview shows page 7 - 12 out of 20 pages.

8.2.2: Solve an Absolute-Value Equation Examples: Solve the following equations: (a) ǀ x 3 ǀ = 4 (b) ǀ 3x 2 ǀ = 4 (c) ǀ 2 3x ǀ + 5 = 10 7
Image of page 7
8.2.2: Solve an Absolute-Value Equation In some applications, there is more than one absolute value in an equation. Consider an equation of the form ǀ x ǀ = ǀ y ǀ Since the absolute values of x and y are equal , x and y are the same distance from 0, which means they are either equal or opposite in sign. Example: Solve the following equations: (a) ǀ 3x 4 ǀ = ǀ x + 2 ǀ 8
Image of page 8
8.2: Solving Absolute-Value Inequalities Objectives: 8.2.1: Solve a compound inequality 8.2.2: Solve an absolute-value inequality 9
Image of page 9
8.2.1: Solve a Compound Inequality A compound inequality is the inequality that combines between two inequalities. Example of compound inequality is 2 < x < 5. It is called a compound inequality because it combines 2 < x and x < 5. Because there are two inequality signs in a single statement, these are sometimes called double inequalities . Examples: Solve and graph the following compound inequality a) 3 2x + 1 7 We find an equivalent statement in which the variable is isolated in the middle. b) 2x 3 < 5 or 2x 3 > 5 10
Image of page 10
2.8.2: Solve an Absolute-Value Inequality Imagine you get a call from your friend saying that he is driving from Al Ain to Dubai. But, his car stuck on the highway within 5
Image of page 11
Image of page 12

You've reached the end of your free preview.

Want to read all 20 pages?

  • Fall '18
  • jane
  • Accounting, Elementary algebra, Negative and non-negative numbers, Binary relation

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

Stuck? We have tutors online 24/7 who can help you get unstuck.
A+ icon
Ask Expert Tutors You can ask You can ask You can ask (will expire )
Answers in as fast as 15 minutes