Question on: JAMB Mathematics - 2010
Solve the inequalities -6 (\leq) 4 - 2x < 5 - x
A
-1 < x < 5
B
-1 < x \(\leq\) 5
C
-1 \(\leq\) x \(\leq\) 6
D
-1 \(\leq\) x < 6
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Correct Option: B
-6 (\leq) 4 - 2x < 5 - x
split inequalities into two and solve each part as follows:
-6 (\leq) 4 - 2x = -6 - 4 (\leq) -2x
-10 (\leq) -2x
(\frac{-10}{-2}) (\geq) (\frac{-2x}{-2})
giving 5 (\geq) x or x (\leq) 5
4 - 2x < 5 - x
-2x + x < 5 - 4
-x < 1
(\frac{-x}{-1}) > (\frac{1}{-1})
giving x > -1 or -1 < x
Combining the two results, gives -1 < x (\leq) 5
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