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The below mentioned two examples will help us in understanding the same in better way.

-1 < 9 + n < 17

-1 – 9 < 9 + n – 9 < 17 – 9 (use property)

- 10 < n < 8

The value of n lies between -10 and 8.

Representation by graph,

4x < 8 or 2x – 3 > 7

Split the inequality as 4x < 8 or 2x – 3 > 7

Take first inequality

4x < 8

x < 2

Now take second inequality

2x – 3 > 7

2x > 10

x > 5

Therefore, we get x < 2 or x > 5.

By Graph,

These above examples help to understand the way to solve the compound inequalities and representing in

graph.