I need everything to be answered and correct answer Given: A = {-3, 0, 1, 3, 5,

Question

I need everything to be answered and correct answer

Given: A = {-3, 0, 1, 3, 5, 6}, B = {-5, -3, 1, 2, 3, 5}, C = {0, 1, 6}, U = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6} Is C a subset of B? Is A a subset of B U C? List all of the subsets of C| Are A and B disjoint? In relation to the given Universal Set, U, identify: A' A' B' (A U C)' U B' Draw a Venn Diagram, include all elements Identify A B Identify (B C)' A' (A C)'UB (C B)' A' Functions: Identify the domain and range of: f(x) = 10/(2-3x) h(x) = Squareroot 5x/(1-x)^2 g(x) = 4x + 3

Explanation / Answer

1.) C = {0,1,6} and B = {-5, -3, 1,2,3,5}. Since, B doesn't contain all the elements of C. Therefore, C is not a subset of B.

2.) Now, B U C = {-5, -3, 0, 1, 2, 3, 5, 6}. Since, B U C contains all the elements of set A. Therefore, A is subset of B U C.

3.) No. of elements in C = 3. Then, no. of subsets will be 2^3 = 8 which are {}, {0},{1}, {6}, {0,1}, {0,6}, {1,6} and {0,1,6}.

4.) A intersection B = {-3, 1, 3, 5}. Since, A intersection B is not empty. Therefore, A and B are not disjoint.

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