Teacher Notes You do not have to use all examples. If you feel the kids are getting it well, skip some of the examples and you can do the homework problems in class as guided practice and have them finish it at home.

Activating Prior Knowledge Plot the following numbers on the number line and label. -7 𝟏𝟐 𝟑 1.2 𝟓 𝟐 −𝟕 𝟒

Solving Linear Inequalities in One Variable AA1CC

Solutions The solution to an inequality is the set of all numbers that make the statement true.

Big Ideas (Graphing)

Graphing Practice a. Graph −𝟐<𝒙 b.What inequality is the graph representing?

A few more: Write the Inequality the graph is representing C. D. E. F.

Big Ideas (Solving) Use same steps as if you were solving an equation. While solving your inequality, if you multiply or divide both sides of the inequality by a negative number- reverse (flip) your inequality sign.

#1.Easier (Worked Out) Examples

#2. More Difficult (Worked Out) Example b.

Ex.1 Solve the Inequality and Graph. 𝟓<𝟑𝐱−𝟐𝟖

Ex.2 Solve the Inequality and Graph. −𝟒 𝟕 𝐫≥−𝟑

Ex.3 Solve the Inequality and Graph. 𝟐𝒙−𝟔≥𝟑𝒙−𝟐

Ex.4 Solve the Inequality and Graph. 𝟑𝒙−(𝟐+𝟔𝒙)≤𝟐𝟖

Practice #1 Solve and Graph. Put them on the same graph in different colors. a. 𝟒𝒎+𝟏<𝟓𝒎−𝟕 b. 𝟑𝒙−𝟐 𝒙+𝟒 ≤𝟑𝒙−𝟖

Homework Red Workbook p.90 #1-10 all

Is there always one solution? No  1. If an ineqality is equivalent to an inequality that is false (Ex. 5>10), then the inequality has no solution. 2. If an inequality is equivalent to an inequality that is true (Ex. -3<0), then the solutions to the inequality are all real numbers.

Ex. 5 Solve the inequality. a. 14x + 5 < 7(2x-3) b. 12x-1 > 6(2x-1)

Compound Inequalities A compound inequality consists of two separate inequalities joined by and or or.

Compound Inequalities Graph Examples And Or

Worked Out Example: Translating from Words to Inequalities

Ex.1 Translate and Graph All real numbers that are less than -1 or greater than or equal to 4. All real numbers that are greater than or equal to -3 and less than 5

Ex.2 Solve and Graph a Compound Inequality with and

You Try! a. 10≤2𝑦+4<24 b. −7<−𝑧−1<3

Ex.3 Solve and Graph a Compound Inequality with or

You Try! 3ℎ+1<−5 𝒐𝒓 2ℎ −5>7

Red Workbook p.90 #11-23 odd; p.93-94 #4-11 all Homework Red Workbook p.90 #11-23 odd; p.93-94 #4-11 all