Question

The solution set of 4x – 9 ≥ 7, where x ∈ {1, 2, 3, 4, 5, 6, 7, 8}, is ______.

Options

• {1, 2, 3, 4}

• {4, 5, 6, 7, 8}

• {1, 2, 3}

• {5, 6, 7, 8}

Answer 1

The solution set of 4x – 9 ≥ 7, where x ∈ {1, 2, 3, 4, 5, 6, 7, 8}, is {4, 5, 6, 7, 8}.

Explanation:

⇒ 4x – 9 ≥ 7

⇒ 4x ≥ 7 + 9

⇒ 4x ≥ 16

⇒ `x ≥ 16/4`

⇒ x ≥ 4

Since, x ∈ {1, 2, 3, 4, 5, 6, 7, 8}

Solution set = {4, 5, 6, 7, 8}.