State the hypothesis and the conclusion of each conditional.

only if

The hypothesis and the conclusion of a conditional statement are where the hypothesis is the phrase immediately following by the word if and the conclusion is the phrase immediately following by the word then.

If p represents the hypothesis and q represents the conclusion, then the basic forms of an if-then statement are:

“If p, then q”

“p implies q”

“p only if q”

“q is p”.

For example, in the statement “If today is Friday, then tomorrow is Saturday”, “today is Friday” is the Hypothesis, and “tomorrow is Saturday” is the Conclusion.

Since, the statement “ only if ” is similar to the statement “p implies q” where p represents the hypothesis and q represents the conclusion, therefore, the hypothesis is and the conclusion is .

Hence, the hypothesis is and the conclusion is .