1.

Solve the inequality \(\frac{3(x-2)}{5} \leq \frac{5(2-x)}{3}\)

Answer»

Given;  \(\frac{3(x-2)}{5} \leq \frac{5(2-x)}{3}\)

⇒ 9(x – 2) ≤ 25(2 – x) 

⇒ 9x – 18 ≤ 50 – 25x 

⇒ 9x + 25x ≤ 50 + 18 

⇒ 34x ≤ 68 

x ≤ 2.



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