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Question
Solve : `(4x - 10)/(3) ≤ (5x - 7)/(2)` x ∈ R and represent the solution set on the number line.
Solution
`(4x - 10)/(3) ≤ (5x - 7)/(2)`
⇒ 8x – 20 ≤ 15x – 21 ...(L.C.M. of 3, 2 = 6)
⇒ 8x - 15x ≤ - 21 + 20
⇒ -7x ≤ - 1
⇒ -x ≤ - `(1)/(7)`
⇒ x > `(1)/(7)`
∵ x ∈ R
∴ Solution set = {x : x ∈ R, x > `(1)/(7)`}
Solution set on the number line
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