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Sum

Solve the inequation:

`– 1 < 3 – "x"/5 ≤ 1`

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#### Solution

`– 1 < 3 – "x"/5 ≤ 1`

Multiplying the inequation by 5, the sign of inequality changes

5 > – 15 + x > – 5

Adding 15 on both the sides, we get

20 > x > 10

⇒ 10 < x < 20

The solution contains all the real values of x lying between 10 and 20, excluding the boundary value.

The solution set can be written in the form of open interval (10, 20).

Concept: Solution of Linear Inequality

Is there an error in this question or solution?

Chapter 8: Linear Inequations - Exercise 8.1 [Page 116]