What is the converse of the following: "If n is divisible by 6 then n is divisible by both 2 and 3." OA. If n is divisible by both 2 and 3 then n is divisible by 6. OB. If n is divisible by 6 then n is not divisible by both 2 and 3. OC. If n is divisible by 6 then n is divisible by both 2 and 3. ● D. If n is not divisible by both 2 and 3 then n is not divisible by 6. OE. If n is not divisible by 6 then n is not divisible by both 2 and 3. F. If n is divisible by both 2 and 3 then n is not divisible by 6. What is the inverse of the following: "If I vote in the election then I feel enfranchised." OA. If I vote in the election then I feel disenfranchised. OB. If I vote in the election then I feel enfranchised. OC. If I don't vote then I feel disenfranchised. OD. If I feel enfranchised then I don't vote. E. If I feel disenfranchised then I don't vote. OF. If I feel enfranchised then I vote in the election. What is the contrapositive of the following: "If I go to Paris then I visit the Eiffel Tower." OA. If I go to Paris then I visit the Eiffel Tower. OB. If I don't visit the Eiffel Tower then I go to Paris. C. If I don't visit the Eiffel Tower then I don't go to Paris. D. If I visit the Eiffel Tower then I go to Paris. OE. If I don't go to Paris then I don't visit the Eiffel Tower. OF. If I don't go to Paris then I visit the Eiffel Tower.

Converse q→p if p, then qInverse ~p→~qif not p, then not qContrapositive ~q→~pif not q then not p

Answered: What is the converse of the following: "If n is divisible by 6 then n is divisible by both 2 and 3." OA. If n is divisible by both 2 and 3 then n is divisible…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN: 9780134463216

Author: Robert F. Blitzer

Publisher: PEARSON

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Question

What is the converse of the following: "If n is divisible by 6 then n is divisible by both 2 and 3."
A. If n is divisible by both 2 and 3 then n is divisible by 6.
B. If n is divisible by 6 then n is not divisible by both 2 and 3.
C. If n is divisible by 6 then n is divisible by both 2 and 3.
D. If n is not divisible by both 2 and 3 then n is not divisible by 6.
E. If n is not divisible by 6 then n is not divisible by both 2 and 3.
F. If n is divisible by both 2 and 3 then n is not divisible by 6.
What is the inverse of the following: "If I vote in the election then I feel enfranchised."
A. If I vote in the election then I feel disenfranchised.
B. If I vote in the election then I feel enfranchised.
C. If I don't vote then I feel disenfranchised.
D. If I feel enfranchised then I don't vote.
E. If I feel disenfranchised then I don't vote.
F. If I feel enfranchised then I vote in the election.
What is the contrapositive of the following: "If I go to Paris then I visit the Eiffel Tower."
A. If I go to Paris then I visit the Eiffel Tower.
B. If I don't visit the Eiffel Tower then I go to Paris.
C. If I don't visit the Eiffel Tower then I don't go to Paris.
D. If I visit the Eiffel Tower then I go to Paris.
E. If I don't go to Paris then I don't visit the Eiffel Tower.
F. If I don't go to Paris then I visit the Eiffel Tower.

Expert Solution

Step 1

$Converse q \to p if p, then q Inverse ~ p \to ~ q if not p, then not q Contrapositive ~ q \to ~ p if not q then not p$

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