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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #7748)