Rewrite expression without using absolute value notation. | x - 8 | given that x

Question

Rewrite expression without using absolute value notation. | x - 8 | given that x < 8
A) x - 8
B) 8 - x
C) - x - 8
D) x + 8
E) 8 + x

Quizplus · Accepted Answer

Since x < 8, the expression x - 8 will be negative. The absolute value of a negative number is its opposite, but since we can't use absolute value notation, we need to rewrite the expression. If we subtract x from 8 instead of subtracting 8 from x, we get a positive number: 8 - x. Therefore, the answer is choice B.

Rewrite Expression Without Using Absolute Value Notation