A) \[(-1,\,7)\]
B) \[(1,\,7)\]
C) \[(-1,\,\infty )\]
D) \[(-\infty ,\,7)\]
Correct Answer: A
Solution :
[a] \[2(x-1)<x+5\] \[\Rightarrow 2x-2<x+5\] \[\Rightarrow 2x-x<5+2\] \[\Rightarrow x<7\] (1) \[3(x+2)>2-x\] \[\Rightarrow 3x+6>2-x\] \[\Rightarrow 3x+x>2-6\] \[\Rightarrow 4x>-4\] \[\Rightarrow x>-1\] (2) For (1) and (2) it can be concluded that solution set for the given system of inequalities is (-1,7).You need to login to perform this action.
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