ISBtarget wrote:

–5 –4 –3 –2 –1 0 1 2 3 (number line shaded portion and X can take any value from -5 until 3)

130. Which of the following inequalities is an algebraic

expression for the shaded part of the number line

above?

(A) |x| ≤ 3

(B) |x| ≤ 5

(C) |x − 2| ≤ 3

(D) |x − 1| ≤ 4

(E) |x + 1| ≤ 4

The answer is E, why not B?

Length = 3-(-5) = 8

center = (-5)+8/2 = -1

Now only D & E has 8/2 = 4 on right side.

Also at x=-5 only E is satisfied and not D so answer is E.