math logic

What are the truth values for this statement?    ~p $\wedge$   q

 

• {T, F, F, F}

• {F, T, T, T}

• {F, F, T, F}

• None of the above

Suppose p is the statement 'There are 1,000 meters in one kilometer' and q is the statement 'You will give me a cake.' Select the correct symbolization for the statement 'There are 1,000 meters in one kilometer or you will not give me a cake'.

• ~(p ∧ q)

• p ∧ ~q

• p ∨ ~q

• None of these

Suppose p is the statement 'I play softball' and q is the statement 'The moon is 250,000 miles from Earth.' Select the correct statement corresponding to the symbols ~p ∧ q.

• I don't play softball and the moon is 250,000 miles from Earth.

• It is not the case that either I play softball or the moon is 250,000 miles from Earth.

• I don't play softball or the moon is 250,000 miles from Earth.

• It is not the case that both I play softball and the moon is 250,000 miles from Earth.

Select the statement that is the negation of “The speed limit is 55 and granny is driving 35.”

• The speed limit is not 55 or granny is not driving 35.

• The speed limit is not 55 and granny is not driving 35

• The speed limit is not 55 or granny is driving 35.

• The speed limit is not 55 and granny is driving 35.

Write the contrapositive of the following statement?

"If the moon is blue then it is made of cheese"

• If the moon is not blue then it is not made of cheese

• If the moon is blue then it is made of rock

• If the moon is not made of cheese then it is not blue

• If the moon is white then it's made of cheddar cheese

Which is the conditional of the following statement and what is its truth value?

"Vertical Angles are congruent"

• If the angles are vertical then they are congruent. True

• If the angles are vertical then they are congruent. False

• If the angles are not vertical then they are not congruent. True

• If the angles are congruent then they are vertical. False

What is the name of that sign?

• Implication

• Negation

• Inclusive Disjunction

• Conjuction

A tautology is always

• True

• False

What type of logic is this table showing:

• AND

• OR

• NOR

• XOR

Tags

CCSS.HSS.CP.A.1

Use the logic condition to find the value of X:

A and not B

• True

• False

Tags

CCSS.HSS.CP.A.1