Answer:
![-2<x<3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nwtw7gfwxo7g901vjyyojlhxfegqq55xzq.png)
Explanation:
Question:
3 is greater than x, and -2 is less than x
Use x only once in your inequality.
Solution:
Given inequalities:
3 is greater than
is represented as
![3>x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/rpssgxshw0ai92zn5j2etycjgihwqa9mok.png)
-2 is less than
is represented as
![-2<x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ydijfn7vo9a0jj03nxao0oykdirlgcxljm.png)
In order to write the compound inequality we put
in the middle and set up the inequalities as per the constraints.
Thus, the compound inequality can be given as:
![-2<x<3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nwtw7gfwxo7g901vjyyojlhxfegqq55xzq.png)
Thus, by using
only once we can represent the given inequities.