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Warm Up
• Half Sheet—last warm up in Notebook for Q2
IB Math Studies 1 Logic Test Review
LOGIC JEOPARDYVenn
Diagrams
Truth Sets & Valid
Arguments
Truth TablesImplicationsTruth Tables Converse,
Inverse, CP
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State the inverse:
If I do my homework, then I have an A on the
test.
State the contrapositive:
If it is snowing, then we will not have school.
P: I like cheese Q: I like pizza.
Write the following in symbols:
If I do not like pizza, then I do not like cheese.
Prove that the converse and inverse are logically
equivalent.
Prove that the implication and the contrapositive
are logically equivalent.
Create a truth table for
~ p Λ ~ q
Create a truth table for
(p V q) Λ q
Create a truth table for
~ (p V q) Λ q
Create a truth table for
~ (p V q) V ~ q
Determine if the following are logically equivalent:~(p Λ q) = ~p V ~q
Construct a truth table for the following
~ (p ↔ q )
Determine if the following are tautologies, logical contradictions, or
neither.
( p V q) → ( ~p)
Determine if the following are tautologies, logical contradictions, or
neither.
(p Λ q) → (p V q)
Determine if the following are tautologies, logical contradictions, or
neither.
p Λ (p ↔ q)
Determine if the following are tautologies, logical contradictions, or
neither.
(p → ~q) V (~p → q)
List the truth sets for U, P, and P’
U = { x ⃓ 0 < x ≤ 18, x є N}
p: the set of prime numbers
List the truth sets and draw a diagram
U = { x ⃓ 0 < x ≤ 20, x є N}
p: even numbersq: prime numbers
Determine the validity of the argument
Determine the validity of the argument
Determine the validity of the argument
Represent the following on a Venn Diagram
p Λ q
Represent the following on a Venn Diagram
~p V ~q
Express in terms of P and Q
Express in terms of p and q
Represent using a Venn Diagram
q V (p Λ r)
