Math Problem Statement
Select the compound inequality shown on the graph.
Solution
The graph shows a number line with a compound inequality, indicated by the orange shading between and , where has an open circle and has a closed circle.
This implies:
- The inequality is strict at (open circle), meaning .
- The inequality is inclusive at (closed circle), meaning .
Thus, the correct inequality is: Which corresponds to option B.
Would you like a more detailed explanation or have any questions?
Here are five related questions you might explore:
- How would the inequality change if both endpoints were open circles?
- What if the endpoint at were also an open circle?
- Can you graph the inequality ?
- How do you represent inequalities on a number line using set notation?
- How do you solve compound inequalities algebraically?
Tip: When reading inequalities from a graph, always pay attention to whether the circles are open or closed to determine strictness or inclusiveness.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Inequalities
Number Line
Compound Inequality
Formulas
-
Theorems
Basic properties of inequalities on number lines
Suitable Grade Level
Grades 6-8