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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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