EQUATIONS & INEQUALITIES Math 3 Hon: Unit 4 SOLVING RATIONAL EQUATIONS & INEQUALITIES Method #1 - Set up proportion Method #2 - Multiply by LCD of all terms METHOD 1: PROPORTION  Cross Multiply #1) #2) Math 3 Hon: Unit 4

Method 1: Proportion PRACTICE #4) #3)

#6) #5)

#7) Math 3 Hon: Unit 4

METHOD 2 - MULTIPLY BY LCD LCD = Least Common Denominator “Cancels out all fractions to make normal equation to solve” a) b)

c) d)

#1) #2)

#3) #4)

Extraneous Solutions: algebraic solution creates a zero denominator in original

EX 2)

Solving RATIONAL INEQUALITIES (1) Find any excluded values. (2) Solve as a rational equation. (3) Test values on different domains between excluded and solution values to solve. #1) #2)

#3) #4)