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

Question

The solution of the inequality -8 ≤ 5 x-3 < 7 is [-a, b) Sum of ' a' and ' b ' is (A) 1 (B) 2 (C) 3 (D) 4

Tardigrade Admin · Accepted Answer

-8 ≤ 5 x-3 ⇒ -5 ≤ 5 x ⇒ -1 ≤ x 5 x-3 < 7 ⇒ 5 x < 10 ⇒ x<2 Hence, common sol is -1 ≤ x < 2 ⇒ x ∈[-1,2) ⇒ a=1, b=2 and a+b=3

Q. The solution of the inequality $- 8 \leq 5 x - 3 < 7$ is $[- a, b)$ Sum of ' a' and ' $b$ ' is