Write an absolute value inequality that represents the graph.
A) $| x | \leq 16$ or $| x | \geq 21$
B) $| x + 18.5 |

Question

Write an absolute value inequality that represents the graph. 
A) $| x | \leq 16$ or $| x | \geq 21$ 
B) $| x + 18.5 | < 2.5$ 
C) $| x - 2.5 | < 18.5$ 
D) $| x + 2.5 | < 18.5$ 
E) $| x - 18.5 | < 2.5$

Quizplus · Accepted Answer

The graph appears to have a vertical line of symmetry at x = 18.5, which means that the inequality should involve |x - 18.5|. Additionally, the width of the shading appears to be 2.5 units on either side of the line, which means the inequality should involve < 2.5. The correct inequality is thus |x - 18.5| < 2.5, or choice E.

Write an Absolute Value Inequality That Represents the Graph ∣x∣≤16| x | \leq 16∣x∣≤16

Write an Absolute Value Inequality That Represents the Graph $| x | \leq 16$