Statements joined by And Conjunctions Example 1 34

Statements joined by “And” (Conjunctions) Example 1 3+4 = 2 And FALSE 3+3=6 FALSE TRUE Example 2 4– 2=2 TRUE And 5+3=8 TRUE

Solving Statements joined by “And” 1) Find the solution set for each Individual statement. 2) Find the Intersection of the individual solution sets. This gives the Final Solution Set. 3) Express the Final Solution Set in Interval Notation. Remember: You’re trying to find values that will make BOTH statements True!!!

Example 1 Solve the “and” statement. and

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Intersection -7 -6 -5 -4 -3 -2 -1 0 Final Solution set :

Example 2 Solve the “and” statement and

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Intersection -7 -6 -5 -4 -3 -2 -1 0 Final Solution set :

Statements joined by the word “Or” (Disjunctions) EXAMPLE 1 2+4=9 Or FALSE 3+7=10 TRUE EXAMPLE 2 1+1 = 2 Or TRUE 4+5 = 9 TRUE EXAMPLE 3 7 - 2 = 3 FALSE Or 4– 4=8 FALSE

Solving Statements joined by “Or” 1) Find the solution set for each Individual statement. 2) Find the Union of the individual solution sets. This gives the Final Solution Set. 3) Express the Final Solution Set in Interval Notation. Make sure a value is not written twice.

Example 3 Solve the “or” statement or

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Union Final Solution Set:

Example 4 Solve the “or” statement or

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Union -7 -6 -5 -4 -3 -2 -1 0 Final Solution Set: 1 2 3 4 5 6 7

Example 5 Solve the “or” statement or

-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 Union -7 -6 -5 -4 -3 -2 -1 0 Final Solution Set: 1 2 3 4 5 6 7