Evaluate the following logical statements and determine if t

Evaluate the following logical statements and determine if they are true or false:

____ If all dogs are mammals, then all dogs are reptiles. All dogs are mammals. Therefore, all dogs are reptiles.

____ (True AND False) OR True) AND False)

____ If people are sad, they are poor. All rich people are happy. Therefore, all poor people are sad.

If all dogs are mammals, then all dogs are reptiles. All dogs are mammals. Therefore, all dogs are reptiles.

Ans:True

Let A be all dogs are mammals

B be all dogs are reptiles

If all dogs are mammals, then all dogs are reptiles.Henc it is A->B

hence when A is true ,B is true.

Hence ,All dogs are mammals(A) is trur,then

Therefore, all dogs are reptiles(B) is also true.

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If people are sad, they are poor. All rich people are happy. Therefore, all poor people are sad.

Ans:

Let A be people are sad.

B people are poor,

Hence, If people are sad, they are poor is A->B.

A->B is equal to ~B->~A i.e. if people are rich then they are happy.

All rich people are happy .

Hence ,we can see that it is making arguement regarding rich people.Hence it will be invalid to say all poor people are sad.