Solve the given inequality for real x :  2 (2x + 3) – 10 < 6 (x – 2)

Asked by Abhisek | 1 year ago |  86

##### Solution :-

2 (2x + 3) – 10 < 6 (x – 2)

By multiplying we get

4x + 6 – 10 < 6x – 12

On simplifying we get

4x – 4 < 6x – 12

– 4 + 12 < 6x – 4x

8 < 2x

4 < x

Thus, all real numbers x, which are greater than 4, are the solutions of the given inequality.

Hence, the solution set of the given inequality is (4, -∞)

Answered by Pragya Singh | 1 year ago

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