Logic: statements and truth tables

Question 1 of 10

If p is false, what is the truth value of ~p?

Question 2 of 10

Write the converse, inverse and contrapositive of "If a number is divisible by 6 then it is divisible by 3".

Question 3 of 10

Show that p ⇒ q is logically equivalent to ~p ∨ q.

Question 4 of 10

The implication p ⇒ q is false only when

Question 5 of 10

The converse of p ⇒ q is

Question 6 of 10

The conjunction p ∧ q is true only when

Question 7 of 10

If p is true, what is the truth value of ~p?

Question 8 of 10

A statement is a sentence that is

Question 9 of 10

For p = F and q = F, p ∧ q = ___ (T or F)

Question 10 of 10

The converse of a true implication is always true.