Question

Please show all work if needed.

1.Let E be a set with |E| = 3. What is the cardinality of its power set? That is, find |P(E)|.

QUESTION 2

1. Find 15 modulo 6

2. Find the quoitent q and the remainder r when -25 is divided by 9.

3. Find |_-278.48_|.

4. Let A and B be sets with A ={1,2,3,7} and B = {a,q,x} with

   f: A -> B, with

   f(1)=q, f(2) =a , f(3) =q, f(7) =x.

   Is f 1-1?

5. Let A and B be sets with A ={1,2,3,7} and B = {a,q,x} with

   f: A -> B, with

   f(1)=q, f(2) =a , f(3) =q, f(7) =x.

   Is f onto? Answer yes or no but justify your answer .

Answer 1

question no 3

Solution

QUESTION 4

Arroy diagram explaination id given because elements are finite and it is easy to understand

If in second set there are 2 arroy for any element than function is many one not one one

Also mathematical defination is given

question 5 defination of onto function with respect to arrow diagram is given followed by question solution

if you are having any doubts please ask i will answer asap