Question

The solution of the inequality $-1<5x-6\le 4$ in whole number is

• A. $1$
• B. $2$
• C. $4$
• D. $5$

Answer 1

Answer: (B)

$2$

Given $-1<5x-6\le 4$ first of all get rid $-6$ then $5$ in the middle term
To get rid $-6$, add $6$ to each part
$-1+6<5x-6+6\le 4+6$
$\Rightarrow$ $5<5x\le 10$
To get rid of $5$ divide each part by $5$
$\frac{5}{5}<\frac{5x}{5}<\frac{10}{5}$
$1<x\le 2$
$\therefore$ only $2$ is a whole number solution.