Question

The solution set of the inequation x – 3 ≥ – 5, x ∈ R is ______.

Options

• {x : x > – 2, x ∈ R}

• {x : x ≤ – 2, x ∈ R}

• {x : x ≥ – 2, x ∈ R}

• {–2, –1, 0, 1, 2}

Answer 1

The solution set of the inequation x – 3 ≥ – 5, x ∈ R is {x : x ≥ −2, x ∈ R}.

Explanation:

Given,

⇒ x – 3 ≥ –5

⇒ x ≥ –5 + 3

⇒ x ≥ –2

⇒ Solution set = {x : x ≥ –2, x ∈ R}