https://xlitemprod.pearsonc 5. Express the statement given below in \"if...then\
ID: 3210460 • Letter: H
Question
https://xlitemprod.pearsonc 5. Express the statement given below in "if...then" form. Then write the converse, inverse, and contrapositive. All governors are politicians. Which statement below is the correct "if...hen" statement? O A. If someone is not a politician, then he or she is not a governor. O B. If someone is a governor, then he or she is a politician. C. If someone is not a governor, then he or she is not a politician. 0 D. If someone is a politician, then he or she is a governor. Which statement below is the correct converse? 0 A. If someone is not a governor, then he or she is not a politician. O B. If someone is a governor, then he or she is a politician. ° C. If someone is not a politician, then he or she is not a governor. 0 D. If someone is a politician, then he or she is a governor. Which statement below is the correct inverse? 0 A. If someone is a governor, then he or she is a politician. O B. If someone is not a governor, then he or she is not a politician. O C. If someone is a politician, then he or she is a governor. 0 D. If someone is not a politician, then he or she is not a governor. Which statement below is the correct contrapositive? O A. If someone is not a governor, then he or she is not a politician. O B. If someone is a politician, then he or she is a governor. C. If someone is not a politician, then he or she is not a governor. D. If someone is a governor, then he or she is a politician. (Explanation / Answer
Answer :
Consider the given statement
" All governors are politicians "
The above statement can be written using " if... then " as
If someone is a governor then he or she is a politician .
The converse of the given statement is
If someone is a politician then he or she is a governor.
The inverse of the given statement is
If someone is not a governor then he or she is not a politician.
The contrapositive of the given statement is
If someone is not a politician then he or she is not a governor.
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