JAMB - Mathematics (2003 - No. 13)
Find the range of the value of x satisfying the inequalities 5 + x \(\leq\) 8 and 13 + x \(\geq\) 7
-3 \(\leq\) x \(\leq\) 3
3 \(\leq\) x \(\leq\) 6
-6 \(\leq\) x \(\leq\) 3
-6 \(\leq\) x \(\leq\) -3
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
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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