2.1 Write Conditional Statements

Question 1

an example that proves that a conjecture or statement is false

Answer 1

Counterexample

Question 2

a statement believed to be true

Answer 2

Conjecture

Question 3

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

Answer 3

Conditional Statement

Question 4

three statements related to a Conditional statement

Answer 4

Converse Inverse and Contrapositive

Question 5

a statement formed by exchanging the hypothesis and conclusion of a Conditional statement

Answer 5

Converse - if q, then p

Question 6

A statement formed by negating the hypothesis and conclusion of a Conditional statement.

Answer 6

Inverse-If not p, then not q

Question 7

A statement formed by both exchanging and negating the hypothesis and conclusion of a conditional statement

Answer 7

Contrapositive-If not q, then not p

Question 8

If a conditional statement and its converse are both true, they can be combined into a ( )

Answer 8

Biconditional Statement

Question 9

a ( ) is a statement that describes a mathematical object and can be written as a true biconditional statement