Section Two
Conditional Statements
Conditional Statement: is a statement that can be written in the form “if p, then q.”
Hypothesis: is the part p of a conditional statement following the word if.
Conclusion: is the part q of a conditional statement following the word then.
Truth value: A conditional statement has a truth value of either true or false. False if the hypothesis is true and the conclusion is false.
Negation: part of a statement where p is “not p,” written as ~p.
Related Conditionals
Converse: is the statement formed by exchanging the hypothesis and conclusion.
Inverse: is the statement formed by negating the hypothesis and the conclusion.
Contrapositive: is the statement formed by both exchanging and negating the hypothesis and conclusion.
Logically equivalent statements: related conditional statements that have the same truth value( a conditional and its contrapositive and a converse and inverse).
Conditional Statement: is a statement that can be written in the form “if p, then q.”
Hypothesis: is the part p of a conditional statement following the word if.
Conclusion: is the part q of a conditional statement following the word then.
Truth value: A conditional statement has a truth value of either true or false. False if the hypothesis is true and the conclusion is false.
Negation: part of a statement where p is “not p,” written as ~p.
Related Conditionals
Converse: is the statement formed by exchanging the hypothesis and conclusion.
Inverse: is the statement formed by negating the hypothesis and the conclusion.
Contrapositive: is the statement formed by both exchanging and negating the hypothesis and conclusion.
Logically equivalent statements: related conditional statements that have the same truth value( a conditional and its contrapositive and a converse and inverse).