Write an Inequality that represents the graph below.
closed circle on -8 and open circle on -4 on the graph
-8 ≤ x < -4
To write an inequality that represents the given graph, we need to determine the relationship between the values at the closed circle (-8) and the open circle (-4).
Since the circle at -8 is closed, it means that -8 is a possible solution to the inequality. On the other hand, the open circle at -4 suggests that -4 is not included as a solution to the inequality.
Let's assume x represents a value on the number line. To write the inequality, we use the following symbols:
- "<" to indicate "less than"
- "<=" to indicate "less than or equal to"
- ">" to indicate "greater than"
- ">=" to indicate "greater than or equal to"
- "x" to represent the variable
Given that we have a closed (filled) circle at -8 and an open circle at -4, the inequality can be written as follows:
-8 <= x < -4
Here, -8 is included in the set of solutions, indicated by "<=", while -4 is not included, indicated by the "<".
To represent the graph with a closed circle at -8 and an open circle at -4, we can write the following inequality:
-8 ≤ x < -4
In this inequality, the closed circle at -8 indicates that x is greater than or equal to -8, while the open circle at -4 indicates that x is less than -4.