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Solve the inequality -7 leq 9 - 8x lt 16 - x - JAMB Mathematics 2019 Question

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
correct option: d

-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.

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