Find all values of x satisfying the inequality -11 \(\leq\) 4 - 3x \(\leq\) 28
A
-5 \(\leq\) x \(\geq\) 8
B
5 \(\leq\) x \(\leq\) 8
C
-8 \(\leq\) x \(\leq\) 5
D
-5 < x \(\leq\) 8
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
To solve -11 \(\leq\) 4 - 3x \(\leq\) 28
-11 \(\leq\) 4 - 3x also 4 -3x \(\leq\) 28
- 11 - 4\(\leq\) - 3x and -3x \(\leq\) 28 - 4
-15\(\leq\) -3x and -3x \(\leq\) 24
i.e. x \(\leq\) 5 and x \(\geq\) -8
∴ -8 \(\leq\) x \(\leq\) 5
Source: Myschool Past Questions Archive (Record #31320)