Question

A = {a, b, c, d}

B = {c, d, e, f, g, h}

LaTeX: A\cup BA∪B is the set of all elements that belong to A or B.

When given this information Johnny stated that union of A and B is {a, b, e, f, g, h}.

POST (by Thursday): Is Johnny correct? If not, correct his answer. Either way give a every day example to justify your answer. After posting your response, please REPLY to the responses of your group members explaining whyyou agree or disagree with their response, or asking clarifying questions.

Answer 1

Answer:

No, Johnny is not correct

A U B = {a,b,c,d,e,f,g,h}

Step-by-step explanation:

Johnny's answer does not have c and d, elements that are in A and B, so A U B must have all elements that belong to A or B.

The (U) represents the sum of elements between two sets. So If a set has three elements {@,#,$} and another set has 5 elements {%,^,&}, (U) equals the sum of these sets: {@,#,$,%,^,&}.

The same is true for the sets A and B.

A = {a, b, c, d}

B = {c, d, e, f, g, h}

A U B = {a,b,c,d,e,f,g,h}

Note: c, d are repeated, in A and B. It is not necessary to write them twice in the final answer.