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प्रश्न
Solve the inequation given below and represent its solution set on a number line:
`3/5x - (2x - 1)/3 > 1, x ∈ I`
बेरीज
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उत्तर
Given,
⇒ `(3x)/5 - (2x - 1)/3 > 1`
Multiplying by 15 on both sides we get,
⇒ `15((3x)/5 - (2x - 1)/3) > 15(1)`
⇒ 9x – 5(2x – 1) > 15
⇒ 9x – 10x + 5 > 15
⇒ –x + 5 > 15
⇒ x < 5 – 15
⇒ x < –10.
Since, x ∈ I.
Hence, solution set = {–11, –12, –13,...}.
Solution on the number line is:
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