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) $

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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}andx>4\therefore $ x lies in $ (4,\infty ) $ .