Write a conditional statement. write the converse, inverse and contrapositive for your statement and determine the truth value of each. if a statement's truth value is false, give a conunterexample.

Conditional statement is a statement with a hypotesis and a conclusion:

If , then or mathematically .

Converse statement of is statement .

If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:

.

Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:

.

Example:

1. Statement: If it is raining, then I'm at home. (true)

2. Converse: If I'm at home, then it is raining. (not necessarily true)

3. Inverse: If it is not raining, then I'm not at home. (not necessarily true)

4. Contrapositive: If I'm not at home, then it is not raining. (true)

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step-by-step explanation:

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