View
216
Download
1
Category
Tags:
Preview:
Citation preview
ConditionalStatements
Conditional StatementConditional Statement
An “if” … “then” ….(may be true or false)
Example:If you eat Doritos, then you will have bad breath.
Conditional StatementConditional Statement
If p, then q.
HypothesisHypothesis
The part of a conditional statement after the “if”
If you stick your finger in the electrical socket, then I will laugh.
If you stick your finger in the electrical socket, then I will laugh.
ConclusionConclusion
The part of a conditional statement after the “then”
If you stick your finger in the electrical socket, then I will laugh.
If you stick your finger in the electrical socket, then I will laugh.
ConverseConverseWhen you switch the hypothesis
and conclusion of a conditional statement.
(The “If” and “then” do not move)
If you stick your finger in the electrical socket, then I will laugh.
If you stick your finger in the electrical socket, then I will laugh.
If I laugh, then you stuck your finger in the electrical socket.
Converse:
Conditional:
ConverseConverseWhen you switch the hypothesis
and conclusion of a conditional statement.
(The “If” and “then” do not move)
If p, then q.
If q, then p.Converse:
Conditional:
Write the converse of the following statement.
If you eat Doritos, then you have bad breath.
Conditional:
If you have bad breath, then you ate Doritos.
Converse:
If you eat Doritos, then you have bad breath.
InverseInverseWhen you negate the hypothesis
and conclusion of a conditional statement.
If you stick your finger in the electrical socket, then I will laugh.
If you stick your finger in the electrical socket, then I will laugh.
If you do not stick your finger in the electrical socket, then I will not laugh.
Inverse:
Conditional:
InverseInverseWhen you negate the hypothesis
and conclusion of a conditional statement.
If p, then q.
If ~p, then ~q.Inverse:
Conditional:
Write the inverse of the following statement.
If you shave your head, then you will look like Britney Spears.
Conditional:
If you do not shave your head, then you will not look like Britney Spears.
Inverse:
If you shave your head, then you will look like Britney Spears.
ContrapositiveContrapositiveWhen you switch AND negate the
hypothesis and conclusion of a conditional statement.
(The “If” and “then” do not move)
If you stick your finger in the electrical socket, then I will laugh.
If you stick your finger in the electrical socket, then I will laugh.
If I do not laugh, then you did not stick your finger in the electrical socket.
Contrapositive:
Conditional:
ContrapositiveContrapositiveWhen you switch AND negate the
hypothesis and conclusion of a conditional statement.
(The “If” and “then” do not move)
If p, then q.
If ~q, then ~p.Contrapositive:
Conditional:
Write the contrapositive of the following statement.
If you like enchiladas, then we can be best friends.
Conditional:
If we are not best friends, then you do not like enchiladas.
Contrapositive:
If you like enchiladas, then we can be best friends.
False StatementFalse StatementAny statement that can
be disproved.
All red heads are un-athletic.
False.
CounterexampleCounterexampleAn example that disproves a
false statement.Example:
All red heads are un-athletic.
False.
Counterexample:
Shaun White Andy Dalton Blake Griffin
Rewrite the statement into a conditional statement then determine if the following is true or false; if false, give a counterexample.
All squares are rectangles.
Conditional Statement:
True or False:
If it is a square, then it is a rectangle.
True.
Rewrite the statement into a conditional statement then determine if the following is true or false; if false, give a counterexample.
All rectangles are squares.
Conditional Statement:
True or False:
If it is a rectangle, then it is a square.
False.
Not all rectangles have side lengths thatare the same.
Counterexample:
Law of Syllogism
If a=b
then a = cand b=c
Law of Syllogism
Marsha is older than Jan.
Then Marsha is older than Cindy.
Jan is older than Cindy.
Law of Syllogism
Mrs. Wenter is a nerd.
then Mrs. Wenter loves math.
All nerds love math.
Recommended