Question

I need assistance in intermediate algebra… Graph the solution to the inequality.Right the solution to the inequality both insert builder notation and interval notation

Answer 1

Interval notation:

`\lbrack-5,8)`

Set-builder notation:

`\lbrace x|-5≤x<8\rbrace`

Plot of the solution:

Explanation:

First, let's put the solution of the inequality into simpler words. We're looking for values of x that are between 5 and 8, including 5 and excluding 8.

This way, the interval notation for the solution is:

`\lbrack-5,8)`

As a set, we would read the solution as: "The set of all x's, such that x is greater or equal than -5 and less than 8 than 0". In set builder notation, this is:

`\lbrace x|-5≤x<8\rbrace`

The plot of the inequality would be:

Where the full end represents a square bracket and the empty end represents a parentheses.