SOLUTION: MAT 145: Topics In Contemporary Math QUESTION 1 Write the negation of the statement. All dogs have fur.

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Question 1190366: MAT 145: Topics In Contemporary Math

QUESTION 1
Write the negation of the statement.
All dogs have fur.

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

All dogs have fur.
the negation of the statement:
No dogs have fur.
explanation:
“No dogs have fur,” translates as “Not some dogs have fur,”
which translates as “Every thing is such that if it is a dog,
then it has fur.”

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

                The answer in the post by @MathLover1 is  INCORRECT.
                For the correct answer,  see below.


The negation to  "All dogs have fur"  is

                          "Not all dogs have fur",


which means,  in other words,  that some dogs do not have fur.