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Question
Solve `(3x)/(5) - (2x - 1)/(3)` > 1, x ∈ R and represent the solution set on the number line.
Solution
`(3x)/(5) - (2x - 1)/(3)` > 1
⇒ 9x – (10x – 5) > 15
⇒ 9x – 10x + 5 > 15
⇒ – x > 15 – 5
⇒ – x > 10
⇒ x < – 10
x ∈ R.
∴ Solution set = {x : x ∈R, x < – 10}
Solution set on the number line
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