in Quantitative Aptitude edited by
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Consider the following inequalities.

  1. $2x – 1 > 7$
  2. $2x – 9 < 1$

Which one of the following expressions below satisfies the above two inequalities?

  1. $x \leq – 4$
  2. $ – 4 < x \leq 4$
  3. $4 < x < 5$
  4. $x \geq 5$
in Quantitative Aptitude edited by
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1 Answer

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Given that, 

  • $2x – 1>7 \quad \longrightarrow (1)$
  • $2x-9<1 \quad \longrightarrow (2)$

From equation $(1),$

$2x-1>7$

$\Rightarrow 2x >8$

$\Rightarrow  {\color{Blue} {\boxed {x > 4}}}$

From equation $(2),$

$2x – 9<1$

$\Rightarrow 2x<10$

$\Rightarrow  {\color{Red} {\boxed {x < 5}}}$

We can write, ${\color{Green} {\boxed {4<x < 5}}}$

Correct Answer $:\text{C}$

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