Solve the following inequation :– 8 < – (3x – 5) < 13.

1.	Solve the following inequation :– 8 < – (3x – 5) < 13.
Answer» The given inequality is – 8 < – (3x – 5) < 13 = – 8 < – 3x + 5 < 13 = – 8 – 5 < – 3x + 5 – 5 < 13 – 5 = – 13 < – 3x < 8 Multiplying by – 1, we have 13 > 3x > – 8 13/3 > 3x > – 8/3 reversing the order of inequality −8/3 < x < 13/3 :. The solution set is x ∈(-8/3, 13/3)

Answer»

The given inequality is

– 8 < – (3x – 5) < 13

= – 8 < – 3x + 5 < 13

= – 8 – 5 < – 3x + 5 – 5 < 13 – 5

= – 13 < – 3x < 8

Multiplying by – 1, we have

13 > 3x > – 8

13/3 > 3x > – 8/3

reversing the order of inequality

−8/3 < x < 13/3

:. The solution set is x ∈(-8/3, 13/3)

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Solve the following inequation :– 8 < – (3x – 5) < 13.

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