Question

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

Answer 1

We can write this as `-2 < x <= 4`

Explanation:

The symbol ( in the interval `(-2,4]` means that `x` cannot take value `-2` and symbol ] means that `x` can take value `4`.

Hence, `(-2,4]` 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 <= 4`