Calculus X Solving Inequalities Algebraically Unit 1 TS: Making Decisions After Reflection & Review Objective: Be able to solve inequalities algebraically.

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Presentation transcript:

Calculus X Solving Inequalities Algebraically Unit 1 TS: Making Decisions After Reflection & Review Objective: Be able to solve inequalities algebraically. Warm-Up: Factor the below expression

Solving quadratic inequalities Steps: 1) Factor after setting to zero 2) Set each factor to zero then solve 3) Place on number line and test each region 14/3 ( (

Steps: 1) Factor after setting to zero 2) Set each factor to zero then solve 3) Place on number line and test each region -23 [ [

Steps: 1) Factor after setting to zero 2) Set each factor to zero then solve 3) Place on number line and test each region 24 ( (

Steps: 1) Make sure fraction is set to zero 2) Set num & denom to zero then solve. Notice the denom can’t be zero, so it will get an open circle no matter what! 3) Place on number line and test each region -23 Solving rational inequalities [ (

Can’t factor and no variables in the denominator, so nothing fancy. [ 12/7