# How do you use inequality notation to describe all the x in the interval (-2,4]?

Jun 22, 2016

We can write this as $- 2 < x \le 4$
The symbol ( in the interval $\left(- 2 , 4\right]$ means that $x$ cannot take value $- 2$ and symbol ] means that $x$ can take value $4$.
Hence, $\left(- 2 , 4\right]$ means though $x$ can take all values between $- 2$ and $4$, while $x$ can the value $4$, it cannot take the value $- 2$.
Hence we can write this as $- 2 < x \le 4$