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Find the range of values of x which satisfy the... - JAMB Mathematics 2008 Question

Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\) 3x and 3x - 4 \(\leq\) 4x
A
-4 \(\leq\) x \(\leq\) 7
B
-7 \(\leq\) x \(\leq\) 4
C
x \(\geq\) -7
D
-7 \(\leq\) x \(\leq\) 6
correct option: a

4X - 7 (\leq) 3X and 3X - 4 (\leq) 4X

4X - 3X (\leq) 7 and 3X - 4X (\leq) 4

X (\leq) 7 and -X (\leq) 4 = X (\geq) -4

Range -4 (\leq) x (\leq) 7

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