JAMB - Mathematics (2008 - No. 17)
Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\) 3x and 3x - 4 \(\leq\) 4x
-4 \(\leq\) x \(\leq\) 7
-7 \(\leq\) x \(\leq\) 4
x \(\geq\) -7
-7 \(\leq\) x \(\leq\) 6
Explanation
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
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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