Find a counterexample to show that the statement is false. Assume all sets are subsets of a universal set U = {1, 2, 3, 4, 5}. (Enter your answers for A, B, and C in roster notation as a comma-separated list of sets. Enter EMPTY or ∅ for the empty set.) For all sets A, B, and C,

AU (B-C) = (AUB) - (AUC).
A, B, C = .

A = {1}

B = {2}

C = empty set

Step-by-step explanation:

REcall that given sets A, B then A-B = , recall also that the complement of the empty set is the universe set U.

Then,

Also, recall that given a set A, the union of A with the empty set is again the set A. Then

But,

idk lol

step-by-step explanation:

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0