Lesson 2: 1-2 Solving Linear Inequalities

How can you isolate the variable x on one side of the inequality?
What step should you complete if you isolate the variable x by multiplication or division by a negative number?
What words or phrases in a word problem indicate an inequality?

set-builder notation

A.CED.1 Create equations and inequalities in one variable and use them to solve problems.
A.CED.3 Represent constraints by equations or inequalities , and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context.

SAT questions related to slope: 8-3-13,6-3-1,5-4-7,8-3-19,7-4-17,1-3-6,3-4-8; systems: 4-3-16,1-3-18,1-3-9,2-3-2,8-3-18,6-4-11,7-3-3,1-3-11,7-4-11,1-4-19,8-3-10,2-4-29,2-3-20,3-3-9; writing equations: 5-4-11,4-3-8,8-4-7,1-3-12,7-3-19; inequalities: 5-4-13,7-4-5,4-4-19,8-3-6,1-4-28,5-3-7,6-3-14; graphing: 6-3-5; total unit: 2-3-9

Adding the same number to, or subtracting the same number from each side of an inequality does not affect the truth of the inequality. Multiplying or dividing each side of an inequality by a positive number also does not affect the truth of the inequality. However, multiplying or dividing each side of an inequality by negative values does affect the truth of an inequality.

Josh is trying to decide between two data plans offered by a wireless telephone company. To compare these two rate plans we can use inequalities. The monthly access fee for plan 1 is less than the fee for plan 2, $60<$75. However, the additional data fee for plan 1 is greater than that of plan 2, $20>$10.

Ask students if it makes a difference whether the inequality symbol is <,>, <=,>=, when they use the Addition and Subtraction properties of inequality.

Have social learners discuss the differences between solving equations and inequalities, then have them discuss the similarities.

See McGraw Hill Resources

See McGraw Hill Resources