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Answer the following and give one example each.
1. What are the parts of conditional statement?
2. How do you write a converse statement?
3. When can you write a conditional statement into biconditional statement?
4. How do you write inverse statements?
5. If you negate converse statement what do you call the resulting statement?

Sagot :

Rubelyntomolidn

Answer:

1. A conditional statement has two parts: hypothesis (if) and conclusion (then). In fact, conditional statements are nothing more than “If-Then” statements!

2.To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.

3. A biconditional statement is a combination of a conditional statement and its converse written in the if and only if form. Two line segments are congruent if and only if they are of equal length.

4.To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion. The inverse of “If it rains, then they cancel school” is “If it does not rain, then they do not cancel school.”

5. We could also negate a converse statement, this is called a contrapositive statement: if a population do not consist of 50% women then the population do not consist of 50% men. ... If the conditional is true then the contrapositive is true.

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