# How do you write the inequality and solve one half a number is greater than 0 and less than or equal to 1#?

##### 1 Answer
Dec 23, 2016

Solution: $x > 0 \ast \mathmr{and} \ast x \le 2$ Or In interval notation: $\left(0 , 2\right]$

#### Explanation:

Let the number be $x$.
It is expressed as $0 < \frac{x}{2} \le 1 \mathmr{and} 0 < x \le 2$

Solution: $x > 0 \mathmr{and} x \le 2$ In interval notation: $\left(0 , 2\right]$ [Ans]