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.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
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.
Transcribed Image Text: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 qp if p, then qInverse ~p~qif not p, then not qContrapositive ~q~pif not q then not p

 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education