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Warm up Find the perimeter of the following: A triangle with side lengths of (x + 2) A rectangle with dimensions x and (4x – 3) A square whose area is x². 2.2 Conditional statements. - PowerPoint PPT Presentation
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Warm upFind the perimeter of the following:
A triangle with side lengths of (x + 2)
A rectangle with dimensions x and (4x – 3)
A square whose area is x²
2.2 CONDITIONAL STATEMENTS
Objective: To identify, write analyze the truth value of conditional statements. Write inverse converse and contrapositive of a conditional statement.
Is it true?
Ex. If it is 2:59pm, then the bell rings
It is 2:59pm
The bell rings
If a butterfly has a curved black line on its hind wing, then it is a viceroy.Hypothesis:
Conclusion:
A number is an integer if it is a natural number.Hypothesis:
Conclusion:
Every conditional statement is either true or false.(False - IF hypothesis is true and conclusion is false)
Determine if each conditional statement is true. If it is false, give a counterexample.
conditionalstatement
If p then q
If q then p
If not p then not q
If not q then not p
Converse (q → p):
Inverse (~p → ~q):
Contrapositive (~q → ~p):
Converse (q → p):
Inverse (~p → ~q):
Contrapositive (~q → ~p):
Related conditional statements that have the same truth value
Converse
If q then p
inverse
If not p then not q
Conditional Statement
If p then q
contrapositive
If not q then not p
HW: pg. 84 #’s 3 – 12, 23 – 29