Modulus

Modulus of x is written as |x|. It is defined as x if x > 0 or -x if x < 0.
If |x| = b then x = b or x=-b for any real number.
If |x| < b then -b < x < b
If |x| > b then x <-b or x >b

Try the following question.

1. Find the value of x for the following modulus equation.

(a) |x| =3

(b) |3x| = 12

2. Solve the following inequalities and express your answer in an interval notation.

(a) |x| < 5

(b) |x| > 2

(c) |x-1| > 6

(d) |2x+3| > 2

(e) |2-x| > 7