2.1 Write Conditional Statements

Question 1

What proves that a conjecture of statement if false.

Answer 1

Counterexample

Question 2

What is a statement believed to be true.

Answer 2

Conjecture

Question 3

What is a statement that can be written in form “if p, then q,” where p is the hypothesis of the statement and q is the conclusion

Answer 3

Conditional Statement

Question 4

What is a statement formed by exchanging the hypothesis and conclusion of a conditional statement.

Answer 4

Converse

Question 5

What is a statement formed by negating the hypothesis and conclusion of a conditional statement.

Answer 5

Inverse

Question 6

What is a statement formed by both exchanging and negating the hypothesis and conclusion of a conditional.

Answer 6

Contrapositive

Question 7

What is a statement that can be written in the form of “p if and only if q,” where p is the hypothesis and q is the conclusion.

Answer 7

Biconditional statement

Question 8

What is statement that describes a mathematical object and can be written as a true bicondtional statement.

Answer 8

Definition