Question

Solve the inequation given below and represent its solution set on a number line:

4 – 3x ≥ 3x – 14, x ∈ N

Answer 1

Given,

⇒ 4 – 3x ≥ 3x – 14

⇒ –3x – 3x ≥ –14 – 4

⇒ –6x ≥ –18

Dividing by –6 on both sides we get,

⇒ x ≤ 3   ...(As on dividing by negative no. the sign reverses)

Since, x ∈ N

Hence, solution set = {1, 2, 3}.

Solution on the number line is: