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dlshadowmorfe
10.01.2020 •
Mathematics
Which compound inequality is represented by the graph?
1) –11.25 < x ≤ –8.75
2) x –11.25 or x > –8.75
3) –8.75 x < –11.25
4) x < –8.75 or x –11.25
answer is 2
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Ответ:
Option 2.
Step-by-step explanation:
When you graph inequalities on a number line:
The closed circle represent the inequalities "
and "
", 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:
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:
Therefore, the solution is all the values of "x" in which this is:
Ответ: