1.Select the correct solution when looking for the contrapositive of the followi
ID: 3143862 • Letter: 1
Question
1.Select the correct solution when looking for the contrapositive of the following statement
"If the sun is shining today, then I will walk to work"
If the sun is not shining then I will not walk to work.
If I walk to work then the sun is shining.
If I do not walk to work then the sun is not shining.
If the sun is shining today, then I will walk to work .
2.Select the correct solution when looking for the converse of the following statement
"If the sun is shining today, then I will walk to work"
If I walk to work then the sun is shining.
If the sun is not shining then I will not walk to work.
If the sun is shining today, then I will walk to work .
If I do not walk to work then the sun is not shining.
3. Select the correct solution when looking for the inverse of the following statement
"If the sun is shining today, then I will walk to work"
If I do not walk to work then the sun is not shining.
If I walk to work then the sun is shining.
If the sun is shining today, then I will walk to work .
If the sun is not shining then I will not walk to work.
4. Select the correct solution when looking for the contrapositive of the following statement
"If I pass the test then I will do well in the class"
If I do well in the class then I passed the test.
If I do not pass the test then I will not do well in the class.
If I do not do well in the class then I did not pass the test.
If I pass the test then I will do well in the class
5. Select the correct solution when looking for the converse of the following statement
"If I pass the test then I will do well in the class"
If I do not do well in the class then I did not pass the test.
If I do well in the class then I passed the test.
If I do not pass the test then I will not do well in the class.
If I pass the test then I will do well in the class
6. Select the correct solution when looking for the inverse of the following statement
"If I pass the test then I will do well in the class"
If I do not pass the test then I will not do well in the class.
If I pass the test then I will do well in the class
If I do not do well in the class then I did not pass the test.
If I do well in the class then I passed the test.
Explanation / Answer
Solution1:
"If the sun is shining today, then I will walk to work"
answer:
If I do not walk to work then the sun is not shining.
2.Select the correct solution when looking for the converse of the following statement
"If the sun is shining today, then I will walk to work"
Answer:
If I walk to work then the sun is shining
Solution3:
3. Select the correct solution when looking for the inverse of the following statement
"If the sun is shining today, then I will walk to work
Answer:
If the sun is not shining then I will not walk to work
Solution4:
4. Select the correct solution when looking for the contrapositive of the following statement
"If I pass the test then I will do well in the class
Answer:
If I do not do well in the class then I did not pass the test.
Solution5:
5. Select the correct solution when looking for the converse of the following statement
"If I pass the test then I will do well in the class
Answer:
If I do well in the class then I passed the test
Solution6:
6. Select the correct solution when looking for the inverse of the following statement
"If I pass the test then I will do well in the class
Answer:
If I do not pass the test then I will not do well in the class.
Example used:
Converse, Inverse, Contrapositive
Given an if-then statement "if pp , then qq ," we can create three related statements:
A conditional statement consists of two parts, a hypothesis in the “if” clause and a conclusion in the “then” clause.
To form the converse of the conditional statement, interchange the hypothesis and the conclusion.
To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement.
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