Turn in 2.4 HW into Basket…Warm Up

OCOTBER 22 ND, 2015 NAUMANN-BURKETT-SERVIO 2.4 Day 2 and 2.5

Announcments

Learning Objectives Be able to write and solve inequalities (regular, and compound) to answer questions from a problem situation, and represent solutions on a number line Be able to evaluate and graph linear absolute value equations, and inequalities

Some Extra 2.4 Examples 1) Solve, and graph the solution -3(x+2) ≤ -12 Step 1: Divide both sides by -3. FLIP THE SIGN. Step 2: Subtract 2 X+2 ≥ x ≥

Some Extra 2.4 Examples 2) A number is less than 18 or greater than 24.  A: Write a compound inequality that represents the possible values of the number (Call the number x)  B: Graph the compound inequality on the number line x 22

Section 2.5 Absolute Value

Solving Absolute Value Equations Step 1: Set up TWO equations  One exactly as it is written  The second: Change the sign of the answer Step 2: Solve each equation for the variable x+7=3 OR x+7=-3 -7 x = x=-10 3)

Solving Absolute Value Equations ISOLATE ABS VALUE FIRST Set up TWO equations  One exactly as it is written  The second: Change the sign of the answer )

Solving Absolute Value Equations Cont… Set up TWO equations  One exactly as it is written  The second: Change the sign of the answer Solve each equation for the variable 8=x+5 OR -8=x+5 3=x OR -13=x

Solving Absolute Value Inequalities Absolute Value InequalityEquivalent compound inequality -c < ax+b AND ax+b<c -c ≤ ax+b AND ax+b≤c ax+b c ax+b≤ -c OR ax+b≥ c

Solve the Following ax+b≤ -c OR ax+b≥ c 2x-4 ≤ -6 OR 2x-4≥6 2x ≤ -2 x≤ -1 2x≥10 x≥5 Use the table on the previous slide to write as an equivalent compound inequality Then solve both inequalities for x )