Question

Find the union if possible Express your answer in interval notation

Answer 1

`\begin{equation*} [-7,2] \end{equation*}`

Step-by-step explanation

We want to find the union of the two intervals:

`[-5,2]\cup[-7,-3)`

The union of the sets is made up of all the elements that belong in both the first interval and the second interval.

This means that the union will contain all the elements in the interval that occur in the two given intervals.

Hence, the union of the two sets given is:

`\begin{gathered} [-5,2]\cup[-7,-3)=\lbrace x\in\Re|-5\leq x\leq2\text{ }or\text{ }-7\leq x<-3\rbrace \\ [-5,2]\cup[-7,-3)=\lbrace-7\leq x\leq2\rbrace \\ [-5,2]\cup[-7,-3)=[-7,2] \end{gathered}`

That is the answer.