#### If x ∈ { – 3, – 1, 0, 1, 3, 5}, then the solution set of the inequation 3x – 2 ≤ 8 is

(a) { – 3, – 1, 1, 3}

(b) { – 3, – 1, 0, 1, 3}

(c) { – 3, – 2, – 1, 0, 1, 2, 3}

(d) { – 3, – 2, – 1, 0, 1, 2}

**Solution:**

x ∈ { -3, -1, 0, 1, 3, 5}

3x – 2 ≤ 8

⇒ 3x ≤ 8 + 2

⇒ 3x ≤ 10

⇒ x ≤

⇒ x <

Solution set = { -3, -1, 0, 1, 3} (b)

#### If x ∈ W, then the solution set of the inequation 3x + 11 ≥ x + 8 is

(a) { – 2, – 1, 0, 1, 2, …}

(b) { – 1, 0, 1, 2, …}

(c) {0, 1, 2, 3, …}

(d) {x : x∈R,x≥}

**Solution:**

x ∈ W

3x + 11 ≥ x + 8

⇒ 3x – x ≥ 8 – 11