Use absolute value notation to describe the situation. The distance between x and -12 is at least 5. A)|x + 12| 5 B)|x + 12| ≤ 5 C)|x + 12| = 5 D)|x + 12|

Question

Use absolute value notation to describe the situation. ​
The distance between x and -12 is at least 5.
​
A)|x + 12| > 5
B)|x + 12| ≤ 5
C)|x + 12| = 5
D)|x + 12| < 5
E)|x + 12| ≥ 5

Quizplus · Accepted Answer

The absolute value of x + 12 represents the distance between x and -12, so |x + 12| ≥ 5 means that the distance is at least 5. If it were just |x + 12| > 5 or |x + 12| = 5, it would not include the possibility of the distance being exactly 5. If it were |x + 12| < 5, it would mean that the distance is less than 5, which is not what the problem states.

Use Absolute Value Notation to Describe the Situation