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smartboy2296
14.07.2019 •
Mathematics
Write a conditional statement. write the converse, inverse, and contrapositive for your statement and determine the truth value of each. if the statements truth value is false, give a counter example.
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Ответ:
Conditional statement is a statement with a hypotesis and a conclusion:
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. Conditional statement: If I am sleeping, then I have closed eyes. (true)
2. Converse statement: If I have closed eyes, then I'm sleeping. (not necessarily true)
3. Inverse statement: If I'm not sleeping, then I haven't closed eyes. (not necessarily true)
4. Contrapositive statement: If I haven't closed eyes, then I'm not sleeping. (true)
Ответ:
-6 + 3 = 3 - 6