"P only if Q."
a) Write it as a conditional statement.
b) Write it's reciprocal (converse?).
c) Write its counterpositive. (contrapositive?)
"A whole number x is odd only if x^2 is an odd whole number."
a) Write it as a conditional statement.
b) Write it's reciprocal.
c) Write its counterpositive.
" If A and B are sets, and A is a subset of B, then A U B = B."
a) Write its reciprocal.
b) Write its counterpositive.
Please tell me if my answers are right.
More Logic
"A whole number x is odd only if x^2 is an odd whole number."
a) Write it as a conditional statement. x is odd only if x^2 is odd.
b) Write it's reciprocal. x^2 is odd if x is odd.
c) Write its counterpositive. x^2 is not odd if x is not odd.
" If A and B are sets, and A is a subset of B, then A U B = B."
a) Write its reciprocal. A U B = B only if A and B are sets, and A is a subset of B.
b) Write its counterpositive. A U B is not equal to B if A and B are not sets, and A is not a subset of B.