Mathematics

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}

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⇒ 7x - 4(3 - x) ≥ 3(2x - 5)

⇒ 7x - (12 - 4x) ≥ (6x - 15)

⇒ 7x + 4x - 12 ≥ 6x - 15

⇒ 11x - 6x ≥ -15 + 12

⇒ 5x ≥ -3

⇒ x ≥ $-\dfrac{3}{5}$

⇒ 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 :

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