Question

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

7x – 4(3 – x) ≥ 3 (2x – 5), x ∈ {–3, –2, –1, 0, 1, 2, 3}

Answer 1

Given,

⇒ 7x – 4(3 – x) ≥ 3(2x – 5)

⇒ 7x – (12 – 4x) ≥ (6x – 15)

⇒ 7x + 4x – 12 ≥ 6x – 15

⇒ 11x – 6x ≥ –15 + 12

⇒ 5x ≥ –3

⇒ `x ≥ -3/5`​

⇒ x ≥ –0.6

Since, x ∈ {–3, –2, –1, 0, 1, 2, 3}

Hence, solution set = {0, 1, 2, 3}.

Solution on the number line is: