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Mathematics 12 Online
OpenStudy (anonymous):

can anyone help with conditional statements

OpenStudy (anonymous):

@hartnn

terenzreignz (terenzreignz):

On one condition? Haha... Let's see it ^_^

OpenStudy (anonymous):

ok let me type it

OpenStudy (anonymous):

given the statement "when it rains it pours " the related statement if it pours then it rains ' it is A.converse B.inverse C.contrapositive D.none of the above

terenzreignz (terenzreignz):

Okay... this is a one-hit question, and since anything that amounts to giving a direct answer is frowned upon, allow me this subtler hint instead ^_^ If we have the conditional statement "If A, (then) B" then its... CONVERSE is "If B, (then) A" INVERSE is "If not A, (then) not B" CONTRAPOSITIVE is "If not B, (then) not A" Given these, which one fits your question the best? ^_^

OpenStudy (anonymous):

contrapositive i think

terenzreignz (terenzreignz):

keep in mind the presence of the 'not's...

terenzreignz (terenzreignz):

Here's a more direct hint: CONDITIONAL : If it is a tomato, then it is a fruit. CONVERSE : If it is a fruit, then it is a tomato. INVERSE : If it is not a tomato, then it is not a fruit. CONTRAPOSITIVE: If it is not a fruit, then it is not a tomato.

OpenStudy (anonymous):

converse

terenzreignz (terenzreignz):

You got it :)

OpenStudy (anonymous):

can u help with more

OpenStudy (anonymous):

two conditional statements with the same truth table are equivalent A.True B.false

terenzreignz (terenzreignz):

It can only be one or the other, lol. What do you think?

OpenStudy (anonymous):

True

terenzreignz (terenzreignz):

Of course it is haha

OpenStudy (anonymous):

given the statement "if your happy ,clap your hands " the related statement "if you clap your hands ,then your not happy " it is A.converse B.inverse C.contrapositive D.none

OpenStudy (anonymous):

i think contrapoisitive

terenzreignz (terenzreignz):

You should really give it a good read.

OpenStudy (anonymous):

ohhh inverse

terenzreignz (terenzreignz):

I suspect you're guessing. I will neither agree nor disagree unless you tell me why you picked your answer ^_^

OpenStudy (anonymous):

well i thought it was converse because its not B its A

terenzreignz (terenzreignz):

B and A?

OpenStudy (anonymous):

yea

terenzreignz (terenzreignz):

Let's have some terms... CONDITIONAL: If A, then B. A here is called the "antecedent" and B is called the "consequent" Now, INVERSE: If not A, then not B. CONTRAPOSITIVE: If not B, then not A. Note that both the inverse and contrapositive negate BOTH the erstwhile antecedent and consequent....

OpenStudy (anonymous):

so am i correct ?

terenzreignz (terenzreignz):

I said I will neither agree nor disagree... I'm trying to dissuade you from guessing ^_^ I'm also trying to point you to the correct answer, though. Read through my previous post... carefully :)

OpenStudy (anonymous):

since its not b its a so it would be contrapositive

terenzreignz (terenzreignz):

No offense, T, but your explanations aren't making any sense ^_^ Should I define the converse, inverse, and contrapositive again?

OpenStudy (anonymous):

Okay... this is a one-hit question, and since anything that amounts to giving a direct answer is frowned upon, allow me this subtler hint instead ^_^ If we have the conditional statement "If A, (then) B" then its... CONVERSE is "If B, (then) A" INVERSE is "If not A, (then) not B" CONTRAPOSITIVE is "If not B, (then) not A" Given these, which one fits your question the best? ^_^

OpenStudy (anonymous):

u said that and the question i asked i was given the statement "if your happy ,clap your hands " the related statement "if you clap your hands ,then your not happy " it is A.converse B.inverse C.contrapositive D.none

terenzreignz (terenzreignz):

Okay.... If A, then B. If you're happy, clap your hands. What are A and B here?

OpenStudy (anonymous):

A is If you're happy B clap your hands

terenzreignz (terenzreignz):

A is "you're happy" B is "clap your hands" yes. Now, the statement in the question is... If you "clap your hands" then you're not "happy" So, which is this?

OpenStudy (anonymous):

A clap you're hands B then you're not happy

terenzreignz (terenzreignz):

No, A is "you're happy" still. And B is "clap your hands"

OpenStudy (anonymous):

oh ok my bad

terenzreignz (terenzreignz):

Okay... strong hint. Please do not overlook that in the second statement, only "happy" is negated, but "clap your hands" isn't.

OpenStudy (anonymous):

ok

terenzreignz (terenzreignz):

Well? Are you giving it a good deal of thought?

OpenStudy (anonymous):

im thinking converse

terenzreignz (terenzreignz):

Why?

OpenStudy (anonymous):

wait since its not b its a

terenzreignz (terenzreignz):

If A then B is "If you're happy, clap your hands" If that's the case, then what is "If you clap your hands, then you're not happy" ? Read... carefully :D

OpenStudy (anonymous):

contrapositve

OpenStudy (anonymous):

would that be correct

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