Write the negation of the statement – No sedans have three wheels.
- Write the negation of the statement – No sedans have three wheels.
2. Let p = The temperature ≥ 90°.
q = The air conditioner is working.
r = The apartment is not hot.
Write the following statement in symbolic form
If the apartment is hot and the air conditioner is working, then the
temperature ≥ 90°.
3. Write the following statement in symbolic form and construct a truth table.
It is false that Mr. Chen is the president or that Ms. Chow is not the
treasurer.
4. Let p = Sam owns a sedan.
q = Joan owns an SUV.
Translate the following statement into symbols. Then determine under what conditions the compound statement is true. Note: A truth table may be needed.
Sam does not own a sedan, but Joan does not own a SUV.
5. Determine whether the following statement is a tautology, self-contradiction or neither -- p Λ (q ↔ ~q)
6. Refer to Figure T2-6 on the “Test No 2 Information and Fact-Concept Sheet”.
Determine the truth value of the simple statements then determine the truth value of the compound statement.
Io has a diameter of 1000-3161 miles or Thebe may not have water, and Io
may have atmosphere.
7. Let p = False – Mike spoke at the engineer’s conference
q = True - Mike received the outstanding engineer’s award
Find the truth value of the compound statement –
If Mike did not receive the outstanding engineers award, then Mike did not speak at the engineer’s conference.
8. Use a truth table to determine whether the two statements are equivalent.
p → q, ~q → ~p
9. Use De Morgan’s Laws to determine whether the two statements are equivalent
~ (p Λ q), ~q ∨ ~p
10. Determine which if any of the following statements are equivalent
- The pay is good and today is Monday
- If I take the job, then the pay is good or today is Monday
- The pay is good and Today is Monday, or I will take the job
11. Determine whether the argument is valid or invalid.
r ↔ p
q ∨ r
∴ p ∨ r
12. Translate the argument into symbolic and then determine whether the argument
is valid or invalid.
If you pass general chemistry then you can take organic chemistry.
You pass general chemistry.
∴ You can not take organic chemistry
13. Use an Euler Diagram to determine whether the syllogism is valid or invalid.
Some skunks are not tame
Stinky is a skunk
∴ Stinky is not tame
14. use an Euler Diagram to determine whether the syllogism is valid or invalid.
Some dogs wear glasses
Fido does not wear glasses
∴ Fido is a dog
As many Questions are given , I will solve only the first question
Given Statement : No sedans have three wheels.
The Negation of the statement will be : Some Sedans have three wheels.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
