Absolute Value Equations Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Solve ∣x∣=4|x| = 4.

Solution

  1. 1
    x=4x = 4 or x=−4x = -4.
  2. 2
    Both values are 4 units from zero.

Answer

x=4 or x=−4x = 4 \text{ or } x = -4
The absolute value of a number is its distance from zero. Two numbers are the same distance from zero: 44 and −4-4.

About Absolute Value Equations

Absolute value equations solve for values whose distance from zero or another number matches a target amount.

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More Absolute Value Equations Examples

Example 1 easy

Solve [formula].

Example 2 medium

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Example 4 medium

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