Question

The largest value of x for which, 3(x – 2) ≤ 6 – x, where x ∈ W, is ______.

Options

• 3

• 4

• 6

• none of these

Answer 1

The largest value of x for which, 3(x – 2) ≤ 6 – x, where x ∈ W, is 3.

Explanation:

Given,

⇒ 3(x – 2) ≤ 6 – x

⇒ 3x – 6 ≤ 6 – x

⇒ 3x + x ≤ 6 + 6

⇒ 4x ≤ 12

⇒ `x ≤ 12/4`

⇒ x ≤ 3

So, the largest whole number value of x = 3.