Answer: Option 2.
Step-by-step explanation:
When you graph inequalities on a number line:
The closed circle represent the inequalities "[tex]\leq[/tex] and "[tex]\geq[/tex]", because that point belongs to the solution.
The opened circle is used to represent the inequalities "<" and ">", because that point does not belong to the solution.
Compound inequalities are separated by the words:
- "and" (Which indicates the intersection of the sets).
- "or" (Which indicates the union of the sets.)
You can observe in the graph that:
There is a closed circle at the point 11.25 (which indicates that it is part of the solution) and the line continues to the numbers less than 11.25. This means that:
[tex]x\leq-11.25[/tex]
There is an opened circle at the point -8.75 (which indicates that it is not part of the solution) and the line continues to the numbers greater than -8.75. This means that:
[tex]x\geq-8.75[/tex]
Therefore, the solution is all the values of "x" in which this is:
[tex]x\leq -11.25\ or\ x>-8.75[/tex]
