Lesson 16 Student Outcomes
Students solve two inequalities joined by “and” or “or,” then graph the solution set on the number line.
"And" and "Or" Statements
Recall that for a statement separated by “and” to be true BOTH statements must be true.
If it is separated by “or,” at least one statement must be true.
1. Solve each compound inequality for x and graph the solution on a number line.
a. 9 + 2x < 17 and 7 - 4x < -9
b. 6 ≤ x/2 ≤ 11
a. Give an example of a compound inequality separated by “or” that has a solution of all real number.
b. Take the example from (a) and change the “or” to an “and.” Explain why the solution set is no longer all real numbers. Use a graph on a number line as part of your explanation.
Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.