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Mathematics 10 Online
OpenStudy (anonymous):

What is the converse of the following statement? If a number is odd, it is not divisible by two.

OpenStudy (anonymous):

converse of "if P then Q" is "if Q, then P"

OpenStudy (anonymous):

A number is not divisible by two if it is an odd number?

OpenStudy (anonymous):

P: the number is odd Q: it is not divisible by 2

OpenStudy (anonymous):

careful here

OpenStudy (anonymous):

still write is as "if ... then ..."

OpenStudy (anonymous):

If a number is not odd, then it is divisible by two?

OpenStudy (anonymous):

the two statements "If a number is odd, it is not divisible by two" and "A number is not divisible by two if it is an odd number" are identical yes, it is the second one you wrote

OpenStudy (anonymous):

wait that was wrong as well

OpenStudy (anonymous):

switch them if Q then P

OpenStudy (anonymous):

put the if to the second part, and the then to the first part i will write it for you if you like

OpenStudy (anonymous):

If a number is divisible by two, then it is not an odd number.?

OpenStudy (anonymous):

statement : if it is raining, then i use an umbrella converse : if i use an umbrella, then it is raining

OpenStudy (anonymous):

don't change the statements, just reverse them

OpenStudy (anonymous):

If a number is odd, it is not divisible by two P: a number is odd Q: it is not divisible by two

OpenStudy (anonymous):

If a number is not divisible by two, then it is an odd number.

OpenStudy (anonymous):

yes you got it

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