Solve the inequality: -7 \(\leq\) 9 – 8x < 16 – x
- -1 \(\leq\) x \(\leq\) 2
- -1 \(\leq\) x < 2
- -1 < x < 2
-
-1 < x \(\leq\) 2
The correct answer is: 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 .