In: Advanced Math
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.
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.