Question

If x is a negative integer, then find the solution set of 3 + 2 (x + 1) > – 1.

Options

• {–3, –2, 1}

• {–2, –1}

• {–1}

• none of these

Answer 1

Given,

⇒ 3 + 2(x + 1) > –1

⇒ 3 + 2x + 2 > –1

⇒ 2x + 5 > –1

⇒ 2x > –1 – 5

⇒ 2x > –6

Dividing 2 on both sides we get,

⇒ x > –3

Since, x is a negative integer

⇒ Solution set = {–2, –1}.