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.


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