Compound inequalities are equations that contain two inequalities joined together with the words “and” or “or”. The graph of a compound inequality can help visualize how the two inequalities relate to one another and understand the overall solution. A graph of a compound inequality can be used to identify the exact compound inequality being represented.
Compound Inequalities
A compound inequality is an equation that contains two inequalities connected by the words “and” or “or”. The compound inequality can be written in either the “and” or “or” form, depending on the values of the variables. For example, the compound inequality represented by the graph x ≤ 3 and x ≥ -2 can be written in either of the following forms:And Form
-2 ≤ x ≤ 3Or Form
x ≤ 3 or x ≥ -2Interpreting the Graph
The graph of a compound inequality can be used to help identify the exact compound inequality being represented. To do this, look at the graph and identify the values of the variables that are included in the solution. For example, in the graph below, the solution includes all values of x that are less than or equal to 3, and all values of x that are greater than or equal to -2.| Compound Inequality | Graph |
|---|---|
| x ≤ 3 and x ≥ -2 |  |
Conclusion
Compound inequalities are equations that contain two inequalities joined together with the words “and” or “or”. The graph of a compound inequality can be used to identify the exact compound inequality being represented. By looking at the graph, it is possible to identify the values of the variables that are included in the solution.People Also Ask:
Q. What is a compound inequality?A. A compound inequality is an equation that contains two inequalities connected by the words “and” or “or”. Q. How do you identify a compound inequality?
A. To identify a compound inequality, look at the graph and identify the values of the variables that are included in the solution. Q. How do you interpret a graph of a compound inequality?
A. To interpret a graph of a compound inequality, look at the graph and identify the values of the variables that are included in the solution. This can help identify the exact compound inequality being represented.