Question

If 3x – 4 ≤ 10 and replacement set is the set of natural numbers then solution set is ______.

Options

• {1, 2, 3, 4}

• {5, 6, 7, 8, ...}

• {1, 2, 3}

• {4, 5, 6, ...}

Answer 1

If 3x – 4 ≤ 10 and replacement set is the set of natural numbers then solution set is {1, 2, 3, 4}.

Explanation:

3x − 4 ≤ 10

⇒ 3x ≤ 14

⇒ x ≤ `14/3`

≈ 4.66

Natural numbers = {1, 2, 3, 4, 5, …}

Values of x such that x ≤ 4.66 are:

{1, 2, 3, 4}