Solve the inequalities in Exercises 5 to 16 for real x:

It is given in the question that,

Cross - multiplying the denominators, we get:

9(x- 2) ≤ 25(2 – x)

9x – 18≤ 50 – 25x

Adding 25x both the sides,

9x – 18 + 25x ≤ 50 – 25x + 25x

34x – 18≤ 50

Adding 25x both the sides,

34x – 18 + 18 ≤ 50 + 18

34x ≤ 68

Dividing both sides by 34,

x ≤ 2

∴ The solutions of the given inequality are defined by all the real numbers less than or equal to 2.

Thus, (-∞, 2] is the required solution set.