Home » Solve for x: |x – 2|

Solve for x: |x – 2|

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.

Explanation Video

Related:  The volume of a cone of height 9cm is 1848cm(^3). Find its radius. [Take π...