Question

If $5x>2$ and $\frac{1}{2}x\le 4$, list all the possible integral values of $x$?

• A. $2,3,4,5,6$
• B. $1,2,3,4,5,6,7,8$
• C. $2,3$
• D. $1$

Answer 1

The correct option is B $1,2,3,4,5,6,7,8$

$5x>2$ and. $\frac{1}{2}x\le 4$
$\Rightarrow x>\frac{2}{5}$ and $\Rightarrow \frac{1}{2}x\times 2\le 4\times 2\Rightarrow x\le 8$

From above the integers greater than $\frac{2}{5}$ and less than equal to $8$ are $1,2,3,4,5,6,7,8$