Just as one can read properties of equality to solve equations in Chapter 2, we can use these properties of inequalities to solve. Applying these properties to an inequality produces an equivalent inequality. Equivalent inequalities are those which possess the same solution.
Direct Instruction:Review Addition/Subtraction Property of Inequality and how to solve and check solutions of inequalities.Lesson Check, page 174 (1-4).
Guided Practice: Page 174 (odd)
Independent Practice:Page 174-175, any from even set.Quantity may vary.Kuta Handout on One and Two Step Inequalities.
Review Chapter 2 Exam.
One can solve a multi-step inequality in the same way to solve one-step inequality. One can use the properties of inequality to transform the original inequality into a series of simpler, equivalent inequalities.
Guided Practice: page 187 A-C, Problem 1,3,4, 5
Independent Practice: page 188 (9-14, 15, 18, 22, 25, 26, 30, 33, 34, 53)
Homework on Multi-Step Inequalities
A compound inequality consists of two distinct inequalities joined by the word and or the word or. One can find the solutions of a compound inequality either by identifying where the solution sets of the distinct inequalities overlap or by combining the solution sets to form a larger solution set.
Direct Instruction: interval notation
Guided Practice: Problems 1-4
Page 204-205 #9, 12-16 (even), 17-20, 23-26.
Assessment on adding, subtracting, multiplying and dividing inequalities and multi-step inequalities. (40 minutes)
One can use absolute value equations and inequalities by first isolating the absolute value expression, if necessary. Then write an equivalent pair of linear equations or inequalities.
Guided Practice:Problem 1-3.
Independent Practice: Page 211 (9-16, 17-25,32, and 40).
Direct Instruction: Review the concepts of solving absolute equations and inequalities.
Independent Practice: Complete page 211 (41-46, 49-60).