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Absolute Value Inequalities

Question 7 • FL-1200310-Algebra 1 A

A number is less than 20 units away from 7 on the number line. What numbers are within these parameters? Choose the inequality that represents the situation.

Answer
A
|x – 20| < 7
B
|x – 7| < 20
C
|x + 7| < 20
D
|x + 20| < 7

Explanation

“Less than 20 units away from 7” means the distance between x and 7 is less than 20. Distance on a number line is represented by absolute value, so the inequality is |x − 7| < 20. This matches choice B.

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