Question

In: Advanced Math

5. Provide a counterexample to a false statement. (The statement might be a “for all,” “there...

5. Provide a counterexample to a false statement. (The statement might be a “for all,” “there
exists,” or P ==> Q.)
6. Compute the product of two sets.
7. Given a relation (as ordered pairs or as a diagram), determine the domain, range, and target
of the relation.
8. Given a relation (as ordered pairs or as a diagram), determine if a pair is in the relation.
9. Convert a relation from a list of ordered pairs to a mapping diagram.
10. Convert a relation from a mapping diagram to a list of ordered pairs.

Solutions

Expert Solution

5 . p: Every prime number is odd.

Counter example, 2 is a prime and is even.

So, 2 is prime but not odd.

As it is false for at least one number, therefore 'p' is false.

6. Let ,A={a,b,c},B={0,1}

Now product of A and B is given by,

A×B={(a,0),(b,0),(c,0),(a,1),(b,1),(c,1)}

for ,10) you can re write no. 7 from 9

As it is the reverse of 7 to 9.

Hope you get it.

All solution.


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