Question

find all x so that the distance between -2 and x is 3.
A) x=5 and x=-1
B) x=-5 and x=1
C) x=5 and x=1
D) x=-5 and x=-1

Answer 1

\[\left| -2-x \right|=3\]

Answer 2

A) Absolute value of (-2-x) = 3
-2-x = 3 or -2-x = -3
-x = 3+2 or -x = -3 + 2
-x = 5 or -x = -1
x = -5 or x = 1

Answer 3

B) x=-5 and x=1