Question

The solution set of 3x + 1 > 5x – 7, where x ∈ R, is ______.

Options

• {x : x < 4, x ∈ R}

• {x : x > 4, x ∈ R}

• {x : x < 8, x ∈ R}

• {x : x > – 4, x ∈ R}

Answer 1

The solution set of 3x + 1 > 5x – 7, where x ∈ R, is {x : x < 4, x ∈ R}.

Explanation:

Given,

⇒ 3x + 1 > 5x – 7

⇒ 5x – 3x < 7 + 1

⇒ 2x < 8

⇒ `x < 8/2`

⇒ x < 4

Since, x ∈ R

⇒ Solution set = {x : x < 4, x ∈ R}