Question

Which choice is the correct graph of |x|<3

Answer 1

Graph E

Explanation:

The inequality is given :

| x | < 3

This means the value of x is between +3 and -3.

Hence, the possible values would be :

• -2, -1, 0, 1, 2

Graph E shows the correct representation of the inequality.

Answer 2

Graph E is correct.

Solving Stepwise:

Given Expression: |x| < 3

Apply the absolute rule when |u| < a, then -a < u < a

• -3 < x < 3

Values are between -3 and 3

Explanation:

The circle should be closed when the inequality is "≤" and "≥"

The circle should be opened when the inequality is "<" and ">"

Here we have "<", so the circle should be kept open.