What is the converse of the following statement? If a number is odd, it is not divisible by two.
converse of "if P then Q" is "if Q, then P"
A number is not divisible by two if it is an odd number?
P: the number is odd Q: it is not divisible by 2
careful here
still write is as "if ... then ..."
If a number is not odd, then it is divisible by two?
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
wait that was wrong as well
switch them if Q then P
put the if to the second part, and the then to the first part i will write it for you if you like
If a number is divisible by two, then it is not an odd number.?
statement : if it is raining, then i use an umbrella converse : if i use an umbrella, then it is raining
don't change the statements, just reverse them
If a number is odd, it is not divisible by two P: a number is odd Q: it is not divisible by two
If a number is not divisible by two, then it is an odd number.
yes you got it
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