The solution set of the inequality 4 x+3

Question

The solution set of the inequality 4 x+3<6 x+7 is (A) [-2, ∞) (B) (-∞,-2) (C) (-2, ∞) (D) None of these

Tardigrade Admin · Accepted Answer

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, ∞).

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

$[- 2, \infty)$

$(- \infty, - 2)$

$(- 2, \infty)$

None of these

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 $(- 2, \infty)$ .

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

[−2,∞)

(−∞,−2)

(−2,∞)