Q. If $x$ satisfies the inequations $2x - 7 < 11,\ 3x + 4 < - 5$, then $x$ lies in the interval
A) $( - \infty,\ 3)$
B) $( - \infty,\ 2)$
C) $( - \infty,\ - 3)$
D) $( - \infty,\ \infty)$
Explanation
(c)
Given, $2x - 7 < 11,\ 3x + 4 < - 5$
$\Rightarrow \ \ \ x < 9,\ x < - 3$
$\Rightarrow \ \ \ x < - 3$
$\therefore x$ lies in the interval $( - \infty,\ - 3)$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.