Algebra 2 1-5 Independent Practice: Solving Inequalities

by Matthew Richardson

| 10 Questions1

10

Write an inequality that represents the sentence. Rachel's hair is at least as long as Julia's.

R < J

R ≥ J

R > J

R ≤ J

2

10

Write an inequality that represents the sentence. The wind speeds of tropical storms are at least 40 mi/h, but less than 74 mi/h.

w ≥ 40 and w < 74

w ≤ 40 and w < 74

w ≥ 40 and w ≤ 74

w > 40 and w < 74

3

10

Solve the inequality. Graph the solution. Include relevant graph detail.

4

10

Solve the inequality. Graph the solution. Include relevant graph detail.

5

10

Solve the inequality. Graph the solution. Include relevant graph detail.

6

10

Reasoning: Make up an example to help explain why you must reverse the inequality symbol when you multiply or divide by a negative number.

7

10

Compare and Contrast: Describe how the properties of inequality are similar to the properties of equality and how they differ.

8

10

Provide an Example: Write an inequality for which the solution is the set of all real numbers.

9

10

Error Analysis: Your classmate says that you cannot write a compound inequality that has no solution. Do you agree? If so, explain why. If not, give a counterexample.

10

10

Reflection: Math Success

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