Find the indicated intersection or union.
{q, s, u, v, w, x, y, z}*{q, s, y, z}
I think its E. Any feedback is appreciated!
A) {s, u, w}
B) {v, x}
C) {q, s, u, v, w, x, y, z}
D) {s, u, v, w, x, z}
E) None of the above
the intersection set is {q,s,y,z) , the elements belonging to both
and the
union set is {(q,s,u, v,w,x,y,z}, the elements found in either one or the other.
Thanks! So C then?
To find the indicated intersection or union, you need to understand the concepts of intersection and union.
Intersection (∩): Intersection refers to the set of elements that are common to both sets. It is represented by the symbol (∩). In other words, it gives you the elements that are present in both sets.
Union (∪): Union refers to the combination of all elements from both sets. It is represented by the symbol (∪). In other words, it gives you all the unique elements from both sets.
Now let's find the outcome of the expression {q, s, u, v, w, x, y, z}*{q, s, y, z}.
To find the intersection, you need to find the common elements between the two sets. In this case, the common elements are q, s, y, and z. Therefore, the intersection is {q, s, y, z}.
To find the union, you need to combine all the elements from both sets, removing any duplicate elements. In this case, the unique elements in both sets are q, s, u, v, w, x, y, and z. Therefore, the union is {q, s, u, v, w, x, y, z}.
Now, let's compare the options provided:
A) {s, u, w}: This set does not include all the elements present in the intersection or union, so it is not the correct answer.
B) {v, x}: This set does not include all the elements present in the intersection or union, so it is not the correct answer.
C) {q, s, u, v, w, x, y, z}: This set includes all the elements present in the intersection and union, so it could be a possible answer.
D) {s, u, v, w, x, z}: This set includes all the elements present in the intersection and union, so it could be a possible answer.
E) None of the above: Since options C and D include all the elements present in the intersection and union, they are the correct answers. Therefore, option E is the correct answer.
So, the correct answer is E) None of the above.