Express the statement given below in "if...then" form. Then write the converse, inverse, and contrapositive. Being a republican is sufficient to not being a democrat. Which statement below is the correct "if...then" statement? A. If someone is not a democrat, then he or she is a republican. OB. If someone is a democrat, then he or she is not a republican. OC. If someone is a republican, then he or she is not a democrat D. If someone is not a republican, then he or she is a democrat Which statement below is the correct converse? OA. If someone is not a democrat, then he or she is a republican OB. If someone is a republican, then he or she is not a democrat OC. If someone is a democrat, then he or she is not a republican. OD. If someone is not a republican, then he or she is a democrat. Which statement below is the correct inverse? OA. If someone is not a democrat, then he or she is a republican. OB. If someone is not a republican, then he or she is a democrat. OC. If someone is a democrat, then he or she is not a republican. O D. If someone is a republican, then he or she is not a democrat. Which statement below is the correct contrapositive? OA. If someone is a republican, then he or she is not a democrat OB. If someone is a democrat, then he or she is not a republican. OC. If someone is not a democrat, then he or she is a republican. OD. If someone is not a republican, then he or she is a democrat. BEFER

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Express the statement given below in "if...then" form. Then write the converse, inverse, and contrapositive.
Being a republican is sufficient to not being a democrat.
Which statement below is the correct "if...then" statement?
A. If someone is not a democrat, then he or she is a republican
OB. If someone is a democrat, then he or she is not a republican.
OC. If someone is a republican, then he or she is not a democrat
D. If someone is not a republican, then he or she is a democrat
Which statement below is the correct converse?
OA. If someone is not a democrat, then he or she is a republican
OB. If someone is a republican, then he or she is not a democrat
OC. If someone is a democrat, then he or she is not a republican.
OD. If someone is not a republican, then he or she is a democrat.
Which statement below is the correct inverse?
OA. If someone is not a democrat, then he or she is a republican.
OB. If someone is not a republican, then he or she is a democrat.
OC. If someone is a democrat, then he or she is not a republican.
O D. If someone is a republican, then he or she is not a democrat.
Which statement below is the correct contrapositive?
OA. If someone is a republican, then he or she is not a democrat
OB. If someone is a democrat, then he or she is not a republican.
OC. If someone is not a democrat, then he or she is a republican.
OD. If someone is not a republican, then he or she is a democrat.
REFER
Transcribed Image Text:Express the statement given below in "if...then" form. Then write the converse, inverse, and contrapositive. Being a republican is sufficient to not being a democrat. Which statement below is the correct "if...then" statement? A. If someone is not a democrat, then he or she is a republican OB. If someone is a democrat, then he or she is not a republican. OC. If someone is a republican, then he or she is not a democrat D. If someone is not a republican, then he or she is a democrat Which statement below is the correct converse? OA. If someone is not a democrat, then he or she is a republican OB. If someone is a republican, then he or she is not a democrat OC. If someone is a democrat, then he or she is not a republican. OD. If someone is not a republican, then he or she is a democrat. Which statement below is the correct inverse? OA. If someone is not a democrat, then he or she is a republican. OB. If someone is not a republican, then he or she is a democrat. OC. If someone is a democrat, then he or she is not a republican. O D. If someone is a republican, then he or she is not a democrat. Which statement below is the correct contrapositive? OA. If someone is a republican, then he or she is not a democrat OB. If someone is a democrat, then he or she is not a republican. OC. If someone is not a democrat, then he or she is a republican. OD. If someone is not a republican, then he or she is a democrat. REFER
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