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  4. The solution set of the inequality 4 x+3<6 x+7 is

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Q. The solution set of the inequality $4 x+3<6 x+7$ is

Linear Inequalities

Solution:

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