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conditional statements...

2006-09-25 16:43:10 · 5 answers · asked by Anonymous in Science & Mathematics Mathematics

5 answers

conditional statements are of form IF A THEN B

example
IF I GIVE YOU THE ANSWER THEN YOU WONT LEARN ANYTHING

IF YOU WANT SOMEONE ELSE TO DO YOUR HOMEWORK THEN YOU'LL ASK THEM ON YAHOO Q&A

how 'bout that ?

2006-09-25 16:50:34 · answer #1 · answered by ivblackward 5 · 0 0

The If A then B form that people are giving is correct. But the funny thing about conditional statements is that both A and B can be false and the statement as a whole can still be true.

Conditional statements only fail when A (the antecedent) is true and B (the consequent) is false -- that is if A occurred but B did not. In all other circumstances, the statement is true.

Think about it this way:
Your teacher tells you that if you get at least a B on a test then you will pass the class. Now, what are the possible outcomes:
1) You pass the test and you pass the class. Your teacher was telling the truth, and his/her conditional statement was true.
2) You fail the test and you fail the class. The teacher's statement still remains unviolated.
3) You fail the test but still pass the class. While this may seem like it would invalidate the teacher's conditional statement, it does not -- while you were told that if you passed the test you would pass the class, you were never told that if you failed the test you would fail the class. That is called the negation of a conditional statement, and is not necessarily true.
4) You pass the test but fail the class. This is the only case where the statement is false. Your teacher lied -- you made A true, but B was false.

So, statements such as "If 1+1=3 then bananas are purple" are considered to be true conditional statements, in this case because both the antecedent and consequent were false. If we changed the antecedent to 1+1=2, then the statement would be false, because the antecedent failed to imply the consequent.

I hope this helps.

2006-09-26 03:26:19 · answer #2 · answered by Noachr 2 · 0 0

Here is a true conditional statement.

If you work hard, then you will get the job done.

However, here is a false one.

If it has four legs, then it is a dog.

Why? Because there are lots of things with four legs that aren't dogs.

If you switch a conditional statement around and it is still true, then it is a biconditional, but when writing a biconditional, the 'then' part is replaced by 'if and only if'.

If an angle is more than 90 degrees but less than 180 degrees, then it is an obtuse angle.

It is an obtuse angle if and only if the angle is more than 90 degrees but less than 180 degrees.

But that's a little lesson on conditionals and biconditionals...

2006-09-26 00:07:38 · answer #3 · answered by Nathan R 1 · 0 0

A conditional statement does just what it says, it evaluates against a condition. We evaluate conditional statements throughout the day.
Example: If the phone rings I pick it up.
The condition is "if my phone rings".
Conditions generally end up being either true or false.
Example: If the phone rings = condition true.
Example: If the phone doesn't ring = condition false.
See More: http://www.jaisenmathai.com/pdfs/publication_cfnewbie.pdf
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Three examples:
http://www.computerhope.com/jargon/c/contstat.htm
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Lesson #4 - Page full of examples,
Conditional Statements and Proofs By Counterexample:
http://www.sasked.gov.sk.ca/docs/math30/app-gl4.html

2006-09-25 23:56:22 · answer #4 · answered by Excel 5 · 0 0

If a=b and b=c there fore a=c

2006-09-26 00:07:39 · answer #5 · answered by Anonymous · 0 1

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