Question

If $x$ satisfies the in equations $2x-7<11$, $3x+4<-5,$ then $x$ lies in the interval

• A. $(-\infty ,3)$
• B. $(-\infty ,2)$
• C. $(-\infty ,-3)$
• D. $(-\infty ,\infty )$
• E. $(3,\infty )$

Answer 1

Answer: (C)

Given, $2x-7<11,3x+4<-5$
$\Rightarrow$ $x<9,x<-3$
$\Rightarrow$ $x<-3$
$\therefore$ $x$ lies in the interval
$(-\infty ,-3)$ .