Solve absolute value equations in 1 and 2 var. Solve absolute value inequalities in 1 and 2 var The learner will

Solving Inequalities Reminder Add this to the left “aha” column of your notes

We will use this rule in todays lesson trick < ….. Is less than….think….is less thAND >……is greater than….think…..is greatOR Solve Absolute Value Inequalities (1 var.) Add this to the left “aha” column of your notes

How to solve an absolute value equation (1 var.) If = 6….then x could be either ______ or _______ -66

How to solve an absolute value equation (1 var.) If = 6….then x could be either ______ or _______ X = {-3, 7} x – 2 = 5 or -x + 2 = x = 7 or -x = 3

Solve/Graph Absolute Value Equations

Solve Absolute Value Inequality (1 Var) |-2x +7| + 5 ≥ 14 x ≤ -1 OR x ≥ |-2x +7| ≥ 9 -2x + 7 ≥ 9 or 2x - 7 ≥ x ≥ 2 or 2x ≥

Solve/Graph Absolute Value Inequalities

Now...2 variables… We will not use shifting(translating) the parent function today – it will be shown soon!

2 Equations: y = x y = x - 2 y = -x y = -x - 6 Enter the absolute value equation in the TI84 to see the graph Discuss: My 2 equations produce 2 lines, but the graph looks like a “V”….how could the 2 lines make that graph? Absolute Value Equation (2 Var.)

Equation: Vertex: (-2,-4) Equations: y=x-2 y=-x x-6 x-2 Graph changes from a negative slope to a positive slope at x = – 2

y= Graph changes slope at x=1 Absolute Value Inequality (2 Var.)