Lesson 5.4 Solve Inequalities Using Addition and Subtraction

Lesson 5.4

Solve Inequalities Using Addition and Subtraction

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Definition:

Subject | Subject

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​Key Concept:

​We can solve inequalities using the same method we used to solve equations, opposite operations and properties of equality. The only new rule to learn is that when we multiply or divide by a negative number, we must "flip" the inequality sign.

​Graphing Inequalities:

​Solve and graph the inequality: x + 5 > 6

Multiple Choice

Solve the inequality x + 8 < 10

• x > 10

• x < 10

• x > 2

• x < 2

Multiple Choice

The picture is a graph of what inequaltiy?

• $$x\ >\ 2\ \frac{1}{2}$$

• $$x\ <\ 2\ \frac{1}{2}$$

• $$x\ge2\ \frac{1}{2}$$

• $$x\ \le\ 2\ \frac{1}{2}$$

Multiple Choice

Solve the inequality: $$x\ -\ 9\ \ge10$$

• $$x\ \ge19$$

• $$x\ \ge1$$

• $$x\le19$$

• $$x\le1$$

​Conclusion: Write two complete sentences about what you learned.