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

Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
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  • A -3 \(\leq\) x \(\leq\) 3
  • B 3 \(\leq\) x \(\leq\) 6
  • C -6 \(\leq\) x \(\leq\) 3
  • D -6 \(\leq\) x \(\leq\) -3
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 – 15
X \(\geq\) -7
Combining the two together
-6 \(\leq\) x \(\leq\) 3

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