Question

Express the interval in set-builder notation and graph the interval on a number line (-6.2]

Answer 1

Answer:

{$x|-6$}

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:

$(-6,2]$

You can obsseve that the left hand contains a parentheses, which means that -6 it is not included, then:

$-6$

The right hand contains a bracket, which means that 2 is included:

$\leq 2$

The inequality is:

$-6$

Therefore, in Set-builder notation this is:

{$x|-6$}

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.