Statements
What kind of statement is this:
If I go swimming, then I'll be wet
Conditional Statement
How many possible combinations are there when there are 2 variables in a truth table?
4
True or False: Both switches must be on for an AND gate to work
True
If something fits into two categories, where does it go on the Venn diagram?
In the middle
Rewrite this statement as an inverse statement:
If you are prepared for the post test, then you will do well
If you are not prepared for the post test, then you will not do well
Make a truth table for P and Q
P Q P^Q
0 0 0
1 0 0
0 1 0
1 1 1
What are the symbols for AND, OR, NOT
^, v, ~
There are 35 students, 20 take science and 12 take both. Every student is enrolled in at least one class.
a) How many take only science?
b) How many take math?
Doc Cam VD 200
Write this statement as conditional, converse, inverse, and contrapositive:
Mr. Guilbert fell off his bike and hurt himself
If Mr. Guilbert fell off his bike, then he would hurt himself
If Mr. Guilbert hurt himself, then he fell off his bike
If Mr. Guilbert did not fall off his bike, then he would not hurt himself
If Mr. Guilbert did not hurt himself, then he did not fall off his bike
Make a truth table for P ^ ~Q
P Q ~Q P^~Q
0 0 1 0
1 0 1 1
0 1 0 0
1 1 0 0
Doc Cam LG 300
(P v Q) ^ ~P
There are 180 university athletes surveyed. 45 play basketball, 39 play soccer, and 48 play football. 21 play both basketball and soccer, 3 play both soccer and football, 10 play both football and basketball, and 1 plays all three. Make a Venn diagram and answer a) how many athletes played only one sport and b) how many don't play any of these three sports.
Doc Cam VD 300
Write this statement as the contrapositive of the inverse:
If this statement is converse, then it is not conditional
Inverse: If this statement is not converse, then it is conditional
Contrapositive: If it is not conditional, then it is converse
(P^~Q) -> [(P . R) v (R ⊕ Q)]
Doc Cam TT 400
Doc Cam LG 400
~[(~P ⊕ P) v Q]
213 people visited a zoo. 87 people saw the elephant exhibit, 119 saw the tiger exhibit, and 82 people saw the dolphin exhibit. 29 people saw only the tiger and the dolphin exhibit, 40 people saw the elephant and dolphin exhibit, 10 people saw the tiger and elephant exhibit, and 2 people saw all 3 exhibits. Make a Venn diagram for this and answer these questions:
a) How many people saw both the tiger and dolphin exhibit
b) How many people saw at least 1 of these exhibits
c) How many people saw none of the exhibits?
Doc Cam VD 400
Write this statement as the converse of the contrapositive
Genetic material used to create mRNA is destroyed after being used for protein translation.
Conditional: If genetic material is used for protein translation, then the mRNA is destroyed.
Contrapositive: If the mRNA is not destroyed, then the genetic material is not used for protein translationConverse: If genetic material is not used for protein translation, then the mRNA will not be destroyed
[(P . ~R) ^ (~Q ⊙ R)] ⊕ [(P -> ~P) v (R ↓ Q)]
Doc Cam TT500
Doc Cam LG 500
{[(P ^ ~R) ⊙ Q] v (P . Q)} ⊕ R
A survey was conducted on 4000 people in Austin on what mode of transportation they own: a car, a bike, or an electric scooter.
103 don’t own any of these modes.
978 have only a car.
80 have only a car and a scooter.
1890 own a bike.
400 have only a scooter and a bike.
2121 do not have a scooter.
2345 have a car.
a) how many own all 3?
b) how many own just scooters
c) how many own at least 2 modes of transportation
Doc Cam VD 500
a) 450
b) 1052
c) 1767