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 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