Question

If $2x<9$ and $3x>11$, then find from the following possible value of $x$.

• A. $1$
• B. $2$
• C. $3$
• D. $4$
• E. $5$

Answer 1

The correct option is D $4$

Given, $2x<9$ and $3x>11$
$\to 2x<9$
$\Rightarrow x<\frac{9}{2}$
$\Rightarrow x<4.5$
and $3x>11$
$\Rightarrow x>\frac{11}{3}$
$\Rightarrow x>3.66$
Value of $x$ lies between $3.66$ and $4.5$.

So, value of $x$ will be $4$ among the given numbers.