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प्रश्न
Solve the inequation given below. Write the solution set and represent it on the number line:
2 + 4x < 2x – 5 < 3x, x ∈ I
बेरीज
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उत्तर
Given,
⇒ 2 + 4x < 2x – 5 < 3x
Solving L.H.S. of the inequation,
⇒ 2 + 4x < 2x – 5
⇒ 4x – 2x < –5 – 2
⇒ 2x < –7
⇒ `x < -7/2`
⇒ x < –3.5 ...(1)
Solving R.H.S. of the inequation,
⇒ 2x – 5 < 3x
⇒ 3x – 2x > –5
⇒ x > –5 ...(2)
From (1) and (2) we get,
–5 < x < –3.5
Since, x ∈ I.
Hence, solution set = {–4}.
Solution on the number line is:
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