The solution of the inequality -8 ≤ 5 x-3

Question

The solution of the inequality -8 ≤ 5 x-3<7 is (A) (-1,2) (B) [-1, ∞) (C) (-∞, 2] (D) [-1,2)

Tardigrade Admin · Accepted Answer

In this case, we have two inequalities, -8 ≤ 5 x-3 and 5 x-3<7, which we will solve simultaneously. We have -8 ≤ 5 x-3<7 or -5 ≤ 5 x<10 or -1 ≤ x<2 i.e., x ∈[-1,2).

Q. The solution of the inequality $- 8 \leq 5 x - 3 < 7$ is

$(- 1, 2)$

$[- 1, \infty)$

$(- \infty, 2]$

$[- 1, 2)$

In this case, we have two inequalities, $- 8 \leq 5 x - 3$ and $5 x - 3 < 7$ , which we will solve simultaneously. We have $- 8 \leq 5 x - 3 < 7$ or $- 5 \leq 5 x < 10$ or $- 1 \leq x < 2$ i.e., $x \in [- 1, 2)$ .

Q. The solution of the inequality −8≤5x−3<7 is

(−1,2)

[−1,∞)

(−∞,2]

[−1,2)