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Hence linear inequalities are the expression included with these symbols.

Let us consider a few mathematical problems to show the steps to solve linear inequalities.

5 x – 8 < 9

Or, 5 x – 8 + 8 < 9 + 8

Or, 5 x < 17

Or, 5 x / 5 < 17 / 5

Or, x < 17 / 5

Therefore, x < 17 / 5.

(3 x + 5) / (2 x + 1) > 1

Or, (3 x + 5) > (2 x + 1)

Or, (3 x + 5)- 5 > (2 x + 1) – 5

Or, 3 x > 2 x – 4

Or, 3 x – 2 x > (2 x – 4) – 2 x

Or, x > - 4

Therefore x > - 4

3 (x – 1) < 2 x

Or, 3 * x – 3 * 1 < 2 x

Or, 3 x – 3 < 2 x

Or, (3 x – 3) + 3 < 2 x + 3

Or, 3 x < 2 x + 3

Or, 3 x – 2 x < (2 x + 3) – 2 x

Therefore x < 3