Lesson 14 Student Outcomes
Students learn if-then moves using the addition and multiplication properties of inequality to solve inequalities and graph the solution sets on the number line.
Properties of Inequality
Recall the Properties of Inequality:
Addition property of inequality:
If A > B, then A + c > B + c for any real number c.
Multiplication property of inequality:
If A > B, then kA > kB for any positive real number k.
1. Find the solution set to each inequality. Express the solution in set notation and graphically on the number line.
a. 6x + 2 < 7x - 1
b. x2 + 2(x - 1) ≥ x2 + 5
2. Fergus was absent for today’s lesson and asked Mike to explain why the solution to -5x > 30 is x < -6. Mike said, “Oh! That’s easy. When you multiply by a negative, just flip the inequality.” Provide a better explanation to Fergus about why the direction of the inequality is reversed.
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.