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Find all values of x satisfying the inequality ... - JAMB Mathematics 1992 Question

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 < x \(\leq\) 8
correct option: c

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

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