Rewrite using absolute value notation. The distance between x and 4 is at least 8. A) $| x - 4 | \leq 8$ B) $| x - 4 | \geq 8$ C) $| x - 8 |

Question

Rewrite using absolute value notation. The distance between x and 4 is at least 8.
A) $| x - 4 | \leq 8$
B) $| x - 4 | \geq 8$
C) $| x - 8 | < 4$
D) $| x + 4 | < 8$
E) $| x - 8 | > 4$

Quizplus · Accepted Answer

To say "the distance between x and 4 is at least 8," we know that x could be 8 units less than 4 or 8 units greater than 4. Therefore, we need to use absolute value notation. The inequality |x - 4| ≥ 8 expresses this idea.

Rewrite Using Absolute Value Notation ∣x−4∣≤8| x - 4 | \leq 8∣x−4∣≤8

Rewrite Using Absolute Value Notation $| x - 4 | \leq 8$