gmatbusters wrote:

This is a very nice question to test the inequality concept

Steps to solve:

1) Plot the midpoint (a) of the solution set on the number line:

here the midpoint, a = (-4+2)/2 = -1

2) Find the distance (b unit) of either end points from the mid point :

here the distance, b = 2-(-1) = -1+4 = 3

3) Insert the appropriate sign of inequality between |x-a| and b:

Here , putting a and b, we get |x-1|≤3

hence, the Required inequality is |x-1|≤3

Answer = E

Hi.....E says x+1.....not x-1.....can you clarify please?