Answer:
Interval notation:
[tex]\lbrack-5,8)[/tex]
Set-builder notation:
[tex]\lbrace x|-5≤x<8\rbrace[/tex]
Plot of the solution:
Step-by-step 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:
[tex]\lbrack-5,8)[/tex]
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:
[tex]\lbrace x|-5≤x<8\rbrace[/tex]
The plot of the inequality would be:
Where the full end represents a square bracket and the empty end represents a parentheses.
