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Question
If x ∈ I, find the smallest value of x which satisfies the inequation `2x + (5)/(2) > (5x)/(3) + 2`
Solution
`2x + (5)/(2) > (5x)/(3) + 2`
⇒ `2x - (5x)/(3) > 2 - (5)/(2)`
⇒ 12x – 10x > 12 – 15
⇒ 2x > –3
⇒ x > `-(3)/(2)`
Smallest value of x = – 1.
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