2 2 votes Consider the following inequalities. $2x – 1 > 7$ $2x – 9 < 1$ Which one of the following expressions below satisfies the above two inequalities? $x \leq – 4$ $ – 4 < x \leq 4$ $4 < x < 5$ $x \geq 5$ Quantitative Aptitude gateece-2022 quantitative-aptitude inequality + – Arjun 895 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
2 2 votes 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 $:\text{C}$ Lakshman Bhaiya answered Feb 19, 2022 Lakshman Bhaiya comment Share Follow 0 reply Please log in or register to add a comment.