Answer:
see below
Step-by-step explanation:
Like a lot of math, it is about matching patterns. The pattern of a conditional statement is ...
if hypothesis, then conclusion.
In problems 1 and 2, you are asked to identify the hypothesis and conclusion in each if ... then ... statement. The hypothesis is the clause between "if" and "then"; the conclusion is the clause following "then."
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1. Hypothesis: the product of two numbers is zero.
Conclusion: at least one of the numbers must be zero.
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2. Hypothesis: it is daylight saving time.
Conclusion: I must reset my clocks.
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3. Inverse and converse are different ways to rewrite the conditional using the same clauses (possibly negated).
Original conditional: If p, then q.
Inverse: If not p then not q.
Converse: If q, then p.
Here, you are given clauses p and q. You just need to put them into the appropriate forms.
Conditional: If it is St. Patrick's Day, then it is March.
Inverse: If it is not St. Patrick's Day, then it is not March.
Converse: If it is March, then it is St. Patrick's Day.
Truth value: The conditional is true; the inverse and converse are false.
