Find all values of x satisfying the inequality -11 (leq) 4 – 3x (leq) 28
-
A.
-5 (leq) x v 8 -
B.
5 (leq) x (leq) 8 -
C.
-8 (leq) x (leq) 5 -
D.
-5
Correct Answer: Option C
Explanation
To solve -11 (leq) 4 – 3x (leq) 28
-11 (leq) 4 – 3x also 4 -3x (leq) 28
15 (leq) -3x (leq) 24 = 15 (geq) 3x – 3x (geq) -24
-5 (geq) x, x (geq) -8
i.e. x (leq) 5
∴ -8 (leq) x (leq) 5