The statements which are true are, y = 0 and y=8 is part of the solution set, there is a closed circle on the graph at 8, and the arrow on the graph points left.
What are the characteristics of the graph of the inequality?
Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
Characteristics of the graph of the inequality-
- Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
- Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
- The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.
- The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.
The given inequality is,
[tex]y\ge8[/tex]
Here, the value of y is greater than or equal to the 8. According to the characteristics of the graph of the inequality, for ray will move to the left.
For not equal part, the graph of the inequality has a closed circle.
In this graph, values 0 and 8 fall under the y≥8. But 10 may or may not be a solution part. Thus, y=0 and y=8 is a solution.
Thus, the statements which are true are, y = 0 and y=8 is part of the solution set, there is a closed circle on the graph at 8, and the arrow on the graph points left.
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