Question

Which of these is a valid conclusion? (4 points)

Cyclists do not wear fancy hats.
Brenda is not a cyclist.
Therefore, Brenda does not wear fancy hats.
Cyclists do not wear fancy hats.
Brenda wears fancy hats.
Therefore, Brenda is not a cyclist.
Cyclists do not wear fancy hats.
Brenda does not wear fancy hats.
Brenda is a cyclist who does not wear a fancy hat.
Cyclists do not wear fancy hats.
Brenda is not a cyclist.
Therefore, Brenda wears fancy hats.

Answer 1

C

Answer 2

@3mar @iYuko @triciaal @mathmate

Answer 3

Well, I am here.

Answer 4

I think its C

Answer 5

Cyclists do not wear fancy hats.
Brenda wears fancy hats.

Therefore, Brenda is not a cyclist.

I think it is B

Answer 6

What do you think?

Answer 7

@ItryMath
Learn what a contrapositive is, and you will solve this problem.
Here's an article that might help you:
http://www.regentsprep.org/regents/math/geometry/gp2/lcontrap.htm

Answer 8

What do you think? @mathmate

Answer 9

@mathmate

Answer 10

It's A then

Answer 11

@ItryMath Please continue with @3mar if you still need help.

Answer 12

I think mathmate showed up a very good explanation with his site!
http://www.regentsprep.org/regents/math/geometry/gp2/lcontrap.htm

So depends on this, it would be: B

Answer 13

Waaa

Answer 14

OOOOOOOOOOOOOOOOOOOOOOOOomg

Answer 15

I see it!!!!

Answer 16

im so stupid

Answer 17

such a relief when i understand something lol

Answer 18

"im so stupid"

Don't say that as there is no one is stupid in this life!
Believe me!

Answer 19

mathmate deserves the medal for this question!

Answer 20

Thank you for the medal!
Thanks to mathmate who told you the idea!