2.1.2 Conditional Statements

Question 1

conditional statement

Answer 1

is a statement that can be written in the form “if p, then q”

Question 2

hypothesis

Answer 2

the part p of a conditional statement following the word if

Question 3

conclusion

Answer 3

the part q of a conditional statement following the word then

Question 4

truth value

Answer 4

A conditional statement has a truth value of either true (T) or false (F)

Question 5

negation

Answer 5

of a statement p is “not p,” written as ~p

Question 6

converse

Answer 6

the statement formed by exchanging the hypothesis and conclusion

Question 7

inverse

Answer 7

the statement formed by negating the hypothesis and conclusion

Question 8

contrapositive

Answer 8

the statement formed by both exchanging and negating the hypothesis and conclusion

Question 9

logically equivalent statements

Answer 9

Related conditional statements that have the same truth value

Question 10

Law of Contrapositive

Answer 10

A conditional and its contrapositive are logically equivalent