Question

Form the converse and contra-positive for each of the following conditionals...

Answer 1

a. If you live in Minneapolis, then you live in Minnesota.
P: you live in Minneapolis
Q: you live in Minnesota.

Answer 2

so converse is Q ---> P
If you live in Minnesota., then you live in Minneapolis
Contrap ~Q -> ~P
If you don't live in Minnesota., then you don't live in Minneapolis

Answer 3

yup

Answer 4

whoops pressed the x on my tab

Answer 5

If n is an even integer, then n^2 is an even integer
P n is an even integer
Q n^2 is an even integer

Answer 6

Q ---> P
If n^2 is an even integer, then n is an even integer
contra P
If n^2 is NOT an even integer, then N is NOT an even integer.
If n^2 is an odd integer, then n is an odd integer...

that statement of contra p is so silly

Answer 7

unless n is 2k + 1

Answer 8

anyway.
If F is differentiable at x = a, then f is continuous at x = a
P: F is differentiable at x = a
Q: f is continuous at x = a

converse
If f is continuous at x = a, then F is differentiable at x = a
contra p
If F is NOT continuous at x = a, then F is NOT differentiable at x = a

Answer 9

If P is not prime, then x^p +1 is not factorable.
P: P is not prime
Q: x^p + 1 is not factorable

Q --> P
If x^p + 1 is not factorable, then P is not Prime
contrap
If x^p + 1 is factorable, then P is prime

Answer 10

If you live in MInnesota, then You do not live in Syracuse
P: you live in MInnesota
Q: You do not live in Syracuse
Q--> P
If You do not live in Syracuse then you live in MInnesota
Contra P
If you DO live in Syracuse, then YOU DON'T live in Minnesota

Answer 11

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