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Find the range of the value of x satisfying the... - JAMB Mathematics 2003 Question

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
correct option: c
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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