Absolute Value Equations Math Example 4

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

Example 4

medium
Solve ∣x+2∣=−3|x + 2| = -3.

Solution

  1. 1
    Absolute value is always ≥0\geq 0, so ∣x+2∣=−3|x+2| = -3 has no solution.
  2. 2
    No real number has a negative absolute value.

Answer

No solution.
Absolute value can never equal a negative number. If the right side is negative, the equation has no solution.

About Absolute Value Equations

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

Learn more about Absolute Value Equations →

More Absolute Value Equations Examples

Example 1 easy

Solve [formula].

Example 2 medium

Solve [formula].

Example 3 easy

Solve [formula].

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