Conditional/Bi-Conditional Statements
Law of Detachment, Law of Syllogism or neither?
If the Vikings win the game tonight, then they will be the conference champions.
If the Vikings are the conference champions, then they will get a championship ring.
If the Vikings win the game tonight, then they will get a championship ring.
Law of Syllogism
Make a Venn diagram showing all eagles are birds.
Given 2+x=4, prove x=2
Subtraction Property
Predict what number comes next:
3, 6, 9, ___
12
Make a truth table of
p^q
Law of Detachment, Law of Syllogism or Neither:
If it snows Friday, we will be out of school.
We are out of school Friday.
Neither
Make a Venn diagram showing some people play volleyball and basketball.
Given x/11= 11, prove x=121
Multiplication Property
Predict what number comes next:
2, 4, 8, 16, 32, ___
64
Make a truth table of
p v q
What kind of conditional statement is this? ~p→~q
Inverse
Make a Venn diagram of pet owners that own three cats, three dogs, four parrots, two cats and dogs, four dogs and parrots, two parrots and cats, and seven dogs cats and parrots.
Given 3x+x=12, prove x=4
CLT, Division Property
Predict what number comes next:
1, 8, 64, 512, ____
4096
Make a truth table of
~p v q
Find the converse of this conditional statement: If I have a lollipop, Kim has two snickers bars.
If Kim has two snickers bars, then I have one lollipop.
Make a Venn diagram of a survey taken for pet owners if, there are three parrot owners, two cat owners, twelve dog owners, three cat and parrot owners, eight parrot and dog owners, four dog and cat owners, eight dog parrot and cat owners, and five who don't any at all. How many people own a cat but no parrot?
6
Given 4x-10=7-2x, prove x=17/6
Addition Property
If Joe runs a mile in under 6 minutes, then he will have a new personal record.
Joe ran a mile in 5 minutes.
Conclusion?
Joe has a new personal record.
Make a truth table of
p^~q
What is the contrapositive of this statement: If I have one strawberry, then Sam has two blueberries.
If Sam does not have two blueberries, then I do not have one strawberry.
Draw a venn diagram and determine how many participants TOTAL combined are not participating in the survey AND own cats, if four own dogs, five own birds, seven own cats, nine own birds and dogs, eight own dogs and cats, seven own birds and cats, and 14 did not participate in the survey.
36 people
Given 2(3x+5)=16, prove x=1
Distributive Property
If you sell $100 worth of popcorn, then your Boy Scout dues are free.
Steve's boy scout dues are free.
Valid or invalid? If valid, tell which law.
Invalid
Make a truth table of
~q v ~p