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Find the range of the value of x satisfying the inequalities 5 + x \(\leq\)...

Mathematics
JAMB 2003

Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7

  • A. -3 \(\leq\) x \(\leq\) 3
  • B. 3 \(\leq\) x \(\leq\) 6
  • C. -6 \(\leq\) x \(\leq\) 3
  • D. -6 \(\leq\) x \(\leq\) -3
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Correct Answer: Option C
Explanation

5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
5 + x \(\leq\) 8
X \(\leq\) 8 – 5
X \(\leq\) 3
And 13 + x \(\geq\) 7
X \(\geq\) 7 – 13
X \(\geq\) -6
Combining the two
-6 \(\leq\) x \(\leq\) 3


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