A) \[(-6,7)\]
B) \[[-6,7)\]
C) \[(-6,7]\]
D) [-6, 7]
Correct Answer: C
Solution :
We have, \[3x+2>-16\] \[\Rightarrow \] \[3x>-16-2\] \[\Rightarrow \] \[x>\frac{-18}{3}\] \[\Rightarrow \] \[x>-6\] and \[2x-3\le 11\] \[\Rightarrow \] \[2x\le 11+3\Rightarrow 2x\le 14\] \[\Rightarrow \] \[x\le \frac{14}{2}\Rightarrow x\le 7\] \[\therefore \] Solution of given inequalities is \[x\in (-6,\,7]\]
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