Equations And Inequalities Question 48
Question: If x satisfies the inequalities $ x+7<2x+3 $ and $ 2x+4<5x+3, $ then x lies in the interval
Options:
A) $ (-\infty ,3) $
B) $ (1,3) $
C) $ (4,\infty ) $
D) $ (-\infty ,-1) $
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ x+7<2x+3 $ $ 2x+4<5x+3 $ $ . \Rightarrow 4<x, |1<3x\Rightarrow x>\frac{1}{3} $ so, $ x>\frac{1}{3} \text{ and } x>4\therefore $ x lies in $ (4,\infty ) $ .
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