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Mathematics 9 Online
OpenStudy (anonymous):

Read the statement shown below.

OpenStudy (anonymous):

“A tiger is a cat, and a cat has two legs.” Which statement has the same truth value as the above statement?

OpenStudy (anonymous):

A poodle is a cat, and a dog has four legs. An ostrich is a bird, or all birds can fly. An ostrich is a bird, and a bird has two legs. A poodle is a dog, or a poodle has two eyes.

jimthompson5910 (jim_thompson5910):

A tiger is a cat ... true or false?

OpenStudy (anonymous):

true

jimthompson5910 (jim_thompson5910):

a cat has two legs... true or false

OpenStudy (anonymous):

false

jimthompson5910 (jim_thompson5910):

so “A tiger is a cat, and a cat has two legs.” is false because BOTH pieces need to be true for the whole thing to be true

jimthompson5910 (jim_thompson5910):

so what you're doing is looking through each answer choice and seeing which answer choice is also false

jimthompson5910 (jim_thompson5910):

that's what it means when you want to find something that has the same truth value

OpenStudy (anonymous):

is it " An ostrich is a bird, or all birds can fly."?

OpenStudy (anonymous):

Wait jk, is it "A poodle is a cat, and a dog has four legs."?

OpenStudy (anonymous):

I hate assertions like that...they always leave me wondering if the proposer is saying a 4-legged animal has at least 2 legs, or saying a 4-legged animal only has 2 legs. :-)

jimthompson5910 (jim_thompson5910):

" An ostrich is a bird, or all birds can fly." is true because the first part is true (and that's all you need when you are dealing with an "or") "A poodle is a cat, and a dog has four legs." is false because "a poodle is a cat" is false

jimthompson5910 (jim_thompson5910):

so yes, it's "A poodle is a cat, and a dog has four legs."

OpenStudy (anonymous):

Thanks!

jimthompson5910 (jim_thompson5910):

np

OpenStudy (anonymous):

1) A poodle is a cat = F and a dog has four legs = T F AND T = F 2) An ostrich is a bird = T or all birds can fly = F T OR F = T 3) An ostrich is a bird = T and a bird has two legs = T T AND T = T 4) A poodle is a dog = T or a poodle has two eyes = T T OR T = T

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