The solution set of the inequation.

List the solution set of the inequation
+ 8x > 5x , x ∈ Z

Solution:

+8x > 5x

List the solution set of ≥ + ,
x ∈ N

Solution:

≥ +
⇒ 88 – 16x ≥ 45 – 15x + 30
(L.C.M. of 8, 5, 4 = 40}
⇒ – 16x + 15x ≥ 45 + 30 – 88
⇒ – x ≥ – 13
⇒ x ≤ 13
x ≤ N.
Solution set = {1, 2, 3, 4, 5, .. , 13} Ans.