Answer:
{[tex]x|-6<x\leq 2[/tex]}
The number line is attached.
Step-by-step explanation:
By definition Set-builder notation is a mathematical shorthand used to provide specific details about a set.
In this case, you have the following interval:
[tex](-6,2][/tex]
You can obsseve that the left hand contains a parentheses, which means that -6 it is not included, then:
[tex]-6<[/tex]
The right hand contains a bracket, which means that 2 is included:
[tex]\leq 2[/tex]
The inequality is:
[tex]-6<x\leq 2[/tex]
Therefore, in Set-builder notation this is:
{[tex]x|-6<x\leq 2[/tex]}
Observe the number line attached. Since -6 is not included, you must use an unfilled circle. Since 2 is included, you must use a filled circle.
