Write an absolute value inequality equivalent to the expression: "All real numbers whose distance from 13 is at most 3." A) $| y - 13 | 3$ B) $| y - 3 | \leq 13$ C) $| y - 13 |

Question

Write an absolute value inequality equivalent to the expression: "All real numbers whose distance from 13 is at most 3." 
A) $| y - 13 | > 3$
B) $| y - 3 | \leq 13$
C) $| y - 13 | < 3$
D) $| y - 13 | \leq 3$

Quizplus · Accepted Answer

The expression "All real numbers whose distance from 13 is at most 3" means that the distance between any number $y$ and 13 cannot be more than 3 units, which is correctly represented by the inequality $| y - 13 | \leq 3$. This captures all numbers from 10 to 16, inclusive.

Write an Absolute Value Inequality Equivalent to the Expression: "All ∣y−13∣>3| y - 13 | > 3∣y−13∣>3

Write an Absolute Value Inequality Equivalent to the Expression: "All $| y - 13 | > 3$