Homework to check · 2019. 9. 3. · Reminder: You are not using an umbrella, therefore it is not...

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Warm up

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Homework to check:page 88 #7­12, 25­28, 32­35, 39, 56­58

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Quick quiz review

2, 5, 9, 14, 20, ...

Make a conjecture about the next number.

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2-3: Conditional Statements

Analyze if­then statements

Write the converse, inverse, and contrapositive of if­then statements

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Conditional StatementsCan be written in if­then form

Example: If it is raining outside, then you use an umbrella.

The "if" part is called the hypothesis.

The "then" partis called the conclusion.

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Try it:Identify the hypothesis and conclusion.

If we go to the mall, then I will get a shirt.

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Example continued...

p: it is raining outside

q: you use an umbrella

if p then q

p q

p implies q

It can be written in a few different ways:

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We can do three different things with a conditional statement.

1. Find the converse

2. Find the inverse

3. Find the contrapositive

Each of these things has its own truth value.

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Converseq p

p: it is raining outsideq: you use an umbrella

Conditional p q

Reminder:

You use an umbrella, therefore it is raining.

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Inverse~p ~q

p: it is raining outsideq: you use an umbrella

Conditional p q

Reminder:

It is not raining outside, therefore you do not use an umbrella.

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Contrapositive~q ~p

p: it is raining outsideq: you use an umbrella

Conditional p q

Reminder:

You are not using an umbrella, therefore it is not raining outside.

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true

true

true

true

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Statements can have truth values. Let's try an example:

page 92

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Analyze if­then statements

Write the converse, inverse, and contrapositive of if­then statements

Now you can:

Homework due tomorrow:page 94#1­3, 6­10, 37­42

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Homework due tomorrow:page 94#1­3, 6­10, 37­42