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Question

Mathematics Question on linear inequalities

If 4x+3<6x+74x + 3 < 6x + 7, then xx\in

A

(22, \infty)

B

(2-2, \infty)

C

( -\infty, 22)

D

(-\infty, \infty)

Answer

(2-2, \infty)

Explanation

Solution

We have, 4x+3<6x+74x + 3 < 6x + 7. or 4x6x<734x - 6x < 7 - 3 or 2x<4-2x < 4 or x>\-2x > \- 2 i.e., all real numbers which are greater than 2-2, are solutions of the given inequality. Hence, the solution set is (2-2, \infty).