Solve the inequality: -7 (leq) 9 – 8x < 16 – x
-
A.
-1 (leq) x (leq) 2 -
B.
-1 (leq) x -
C.
-1 -
D.
-1
Correct Answer: Option D
Explanation
-7 (leq) 9 – 8x < 16 – x
-7 (leq) 9 – 8x and 9 – 8x < 16 – x
-7 – 9 (leq) -8x and -8x + x < 16 – 9
-16 (leq) -8x and -7x < 7
(therefore) x (leq) 2 and -1 < x
-1 < x (leq) 2.
There is an explanation video available below.