Linear Programming Question 92
Question: Solution set of the following inequalities is $ 2(x-1)<x+5,3(x+2)>2-x $
Options:
A) $ (-1,7) $
B) $ (1,7) $
C) $ (-1,\infty ) $
D) $ (-\infty ,7) $
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Answer:
Correct Answer: A
Solution:
$ 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).
BETA
