Solve the inequality: -7 \(\leq\) 9 - 8x < 16 - x
A
-1 \(\leq\) x \(\leq\) 2
B
-1 \(\leq\) x < 2
C
-1 < x < 2
D
-1 < x \(\leq\) 2
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
-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.
Source: Myschool Past Questions Archive (Record #55039)