AND OR AND OR AND OR AND OR OR AND AND OR AND OR

NOT NOTWhat do these words mean

MATHEMATICALLY???

What is a statement?

• Statement is a sentence that is either true or false.

• So….Which remark(s) are statements?- Eggs give you protein- Eggs do not give you protein- Eggs is the best thing for breakfast

• Compound Statement: A statement formed by connecting one or more statements with as, or, not, and

Ex. Joe is sixteen (what is this?) Joe has blue eyes (what is this?) Joe is sixteen and has blue eyes (what is this and what does it mean?)

• Negation: NOTJoe is not sixteenJoe does not have blue eyesJoe is not sixteen and does not have blue eyes

AND

• AND- Is inclusive (tells which group or condition it

belongs to - Means both conditions apply (are TRUE)

Ex. To be in the Miss Canada Pageant, you must be a girl AND over 18

- 3 is a integer AND it is greater than 0

OR

• OR- Is inclusive (tells which group or condition it

belongs to)- Means at least one of the conditions are true,

But also when both conditions are true

Ex. Nick only dates girls who are smart OR rich

Solution is: Could be smart, but not rich

Could be rich but not smart

Could be rich and smart

Which values of x make the following true?

• x is a factor of 12 AND x is a factor of 28Solution: x is a factor of 12 AND x is a factor of 281,2,3,4,6,12 1,2,4,7,14,28 what is common in both: 1,2,4

• x is a factor of 12 OR x is a factor of 28Solution:x is a factor of 12 OR x is a factor of 28 1,2,3,4,6,7,12,14,28 these answers with OR means that they show up on at least one of

the lists (but could be on BOTH lists)

Venn Diagrams

Venn Diagrams

• Last example:

• Nick likes girls that are smart OR rich

Venn Diagram

• The following example using sports

• Running, Swimmer, Biking

• How many do all 3 sports?• How many only do each one?• How many run and bike? • How many bike and swim?• How many run but do not swim?• How many don’t do anything?• How many kids are there in total?

Do the following example

• Ex. Grade 11 students • 380 took Bio

• 240 took Chem

• 150 took physics

• 125 took all 3

• 100 took none

• 140 took physics and chem

• 220 took bio and chem

• 130 took bio and physics

• How many took only bio?

• How many students ?

Hints about Venn Diagrams

• Start in the middle

• Then do other overlaps

• Read carefully

Number lines