State, whether the following statements are true or false.

(i) If a < b, then a - c < b - c

(ii) If a > b, then a + c > b + c

(iii) If a < b, then ac > bc

(iv) If a > b, then $\dfrac{a}{c} \lt \dfrac{b}{c}$

(v) If a - c > b - d; then a + d > b + c

(vi) If a < b, and c > 0, then a - c > b - c

where a, b, c, and d are real numbers c ≠ 0.

If x ∈ N, find the solution set of inequations.

(i) 5x + 3 ≤ 2x + 18

(ii) 3x - 2 < 19 - 4x

If the replacement set is the set of whole numbers, solve :

3x - 1 > 8

If the replacement set is the set of whole numbers, solve :

8 - x > 5