Solve for x: |x – 2| < 3
-
A.
x -
B.
-2 -
C.
-1 -
D.
x
Correct Answer: Option C
Explanation
|x – 2| < 3 implies
-(x – 2) < 3 …. or …. +(x – 2) < 3
-x + 2 < 3 …. or …. x – 2 < 3
-x < 3 – 2 …. or …. x < 3 + 2
x > -1 …. or …. x < 5
combining the two inequalities results, we get;
-1 < x < 5
There is an explanation video available below.