Question

Determine which, if any, of the three statements are equivalent. Give a reason for your conclusion. Show complete work and submit your solution to the Dropbox.

I) If the cat does not have claws, then the cat cannot scratch the furniture.
II) If the cat can scratch the furniture, then the cat has claws.
III) If the cat has claws, then the cat can scratch the furniture.
a. I and II are equivalent
b. I and III are equivalent
c. II and III are equivalent
d. I, II, and III are equivalent
e. None are equivalent

Answer 1

if p, then q ; is logically equivalent to: if not q then not p

Answer 2

you lost me

Answer 3

then you should prolly review the chapter material on this subject .... since that is a fundamental priniciple that i expressed

Answer 4

that .. and words should never be used in math :)

Answer 5

I dont no I seem to get lost everytime when it come to this one I did read it

Answer 6

i still dont get it ome I di grt but not all

Answer 7

the more i read it the more i get lost too; I know 1 and 3 are equivalent structures, but then are they asking for truth values?

Answer 8

in some parts of mathing, equivalent and equal have 2 different meanings .... which is also confusing my rememberance :/

Answer 9

it dont seem to be asking for that

Answer 10

i cant even read the answer choices correctly .... "a" is my gut

Answer 11

so how would you show it we can just go with that and see got tou put something

Answer 12

well, the fundamental definition in the material for a contrapositive should suffice

if p, then q is equivalent to if not q, then not p

define p and q as the statements

Answer 13

p = (the cat doesnt have claws)
q = (the cat cant scratch the furniture)

Answer 14

ok Il go with that and see I have more like this dont no if I can get them don

Answer 15

good luck :)

Answer 16

thanks and thank you for your help