Warm Up Half Sheet—last warm up in Notebook for Q2.
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Transcript of Warm Up Half Sheet—last warm up in Notebook for Q2.
![Page 1: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/1.jpg)
Warm Up
• Half Sheet—last warm up in Notebook for Q2
![Page 2: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/2.jpg)
IB Math Studies 1 Logic Test Review
![Page 3: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/3.jpg)
LOGIC JEOPARDYVenn
Diagrams
Truth Sets & Valid
Arguments
Truth TablesImplicationsTruth Tables Converse,
Inverse, CP
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![Page 4: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/4.jpg)
State the inverse:
If I do my homework, then I have an A on the
test.
![Page 5: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/5.jpg)
State the contrapositive:
If it is snowing, then we will not have school.
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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.
![Page 7: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/7.jpg)
Prove that the converse and inverse are logically
equivalent.
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Prove that the implication and the contrapositive
are logically equivalent.
![Page 9: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/9.jpg)
Create a truth table for
~ p Λ ~ q
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Create a truth table for
(p V q) Λ q
![Page 11: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/11.jpg)
Create a truth table for
~ (p V q) Λ q
![Page 12: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/12.jpg)
Create a truth table for
~ (p V q) V ~ q
![Page 13: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/13.jpg)
Determine if the following are logically equivalent:~(p Λ q) = ~p V ~q
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Construct a truth table for the following
~ (p ↔ q )
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Determine if the following are tautologies, logical contradictions, or
neither.
( p V q) → ( ~p)
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Determine if the following are tautologies, logical contradictions, or
neither.
(p Λ q) → (p V q)
![Page 17: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/17.jpg)
Determine if the following are tautologies, logical contradictions, or
neither.
p Λ (p ↔ q)
![Page 18: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/18.jpg)
Determine if the following are tautologies, logical contradictions, or
neither.
(p → ~q) V (~p → q)
![Page 19: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/19.jpg)
List the truth sets for U, P, and P’
U = { x ⃓ 0 < x ≤ 18, x є N}
p: the set of prime numbers
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List the truth sets and draw a diagram
U = { x ⃓ 0 < x ≤ 20, x є N}
p: even numbersq: prime numbers
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Determine the validity of the argument
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Determine the validity of the argument
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Determine the validity of the argument
![Page 24: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/24.jpg)
Represent the following on a Venn Diagram
p Λ q
![Page 25: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/25.jpg)
Represent the following on a Venn Diagram
~p V ~q
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Express in terms of P and Q
![Page 27: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/27.jpg)
Express in terms of p and q
![Page 28: Warm Up Half Sheet—last warm up in Notebook for Q2.](https://reader038.fdocuments.in/reader038/viewer/2022102808/56649e2a5503460f94b17e08/html5/thumbnails/28.jpg)
Represent using a Venn Diagram
q V (p Λ r)