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Find the range of values of x which satisfy the inequalities 4x - 7 \(\leq\)...

Mathematics
JAMB 2008

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
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Correct Answer: Option A
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

There is an explanation video available below.


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Explanation Video

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