Can you each make up an example in which "Some A are not B" is true, but the statement "Some B are not A" is false?
An example would be "Some dogs are not poodles" is true but
"Some poodles are not dogs" is false
Some humans are not women.
Some women are not humans.
What is the negation for these
Original……-> Negation
Some are....---->None are
Some are not--->All are
All are... ---> Some are not
None are..---->Some are
1. Some basketball players are tall.
2.All roses are flowers.
3. No dogs are cats.
Some questions are not tricky.
5. Some tests are easy.
6. Some questions are not easy.
7. All students are studying hard.
8. No football game outcomes are predictable.
To get the negatives, just follow the arrows diagonally on the chart.
Sure! Here's another example related to professions:
"Some teachers are not mathematicians" is true because not all teachers specialize in mathematics.
However, "Some mathematicians are not teachers" is false because the statement implies that there are mathematicians who do not have any involvement in teaching, which is unlikely to be the case as many mathematicians also work as teachers or professors.
Sure! Here's an example:
"Some birds are not pigeons" is true because there are many species of birds that are not pigeons. However, "Some pigeons are not birds" is false because pigeons belong to the category of birds.
Please note that when dealing with statements like "Some A are not B," it is important to understand that they are not mutually exclusive. In other words, just because some A are not B doesn't necessarily mean that some B are not A.