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Question
Solve: `(3(x - 2))/5 ≤ (5(2 - x))/3`
Solution
`(3(x - 2))/5 ≤ (5(2 - x))/3`
`(3x - 6)/5 ≤ (10 - 5x)/3`
3(3x – 6) ≤ 5(10 – 5x)
9x – 18 ≤ 50 – 25x
9x + 25x ≤ 50 + 18
34x ≤ 68
`x ≤ 68/34` = 2
x ≤ 2
∴ The solution set is (– ∞, 2]
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