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You are here: Home / ACT Practice Questions / ACT Practice Question: Absolute Value Inequality

ACT Practice Question: Absolute Value Inequality

September 17, 2015 Leave a Comment

The practice problem below tests your understanding of absolute value inequalities and how it relates to the geometric interpretation on the number line.

The solution set of $|x-a| \leq 3$ is the set of all real numbers $x$ such that:

  1. $\quad a-3 \leq x \leq a+3$
  2. $\quad x \leq a-3 \quad \textrm{or} \quad x \geq a+3$
  3. $\quad x \geq a-3 $
  4. $\quad x \leq a+3$
  5. $\quad -a-3 \leq x \leq -a+3$

Choice A

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