Question: Suppose n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis. What more can

Suppose n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis. What more can be said about A and B? A. Since n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis and Upper A intersect Upper B is a subset of Upper A is a subset of Upper A union Upper B, it follows that Upper A intersect Upper B equals Upper A union Upper B. However, the intersection and union of two sets can only be equal if the sets are empty. Thus, AequalsBequalsempty set. B. Since n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis and Upper A intersect Upper B is a subset of Upper A is a subset of Upper A union Upper B, it follows that Upper A intersect Upper B equals Upper A union Upper B. Thus, Upper A union Upper B has no additional elements besides those in Upper A intersect Upper B, so neither A nor B has any additional elements. Since AequalsUpper A intersect Upper

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose n left parenthesis Upper A intersect Upper B right parenthesis equals n left parenthesis Upper A union Upper B right parenthesis. What more can be said about A and B? A. Since n left...

Let Uequals{a, b, c, d, e, f, g, h, i, j, k}, Aequals{a, f, g, h, i, k}, Bequals{a, b, f, h, i}, Cequals{b, c, g, i, k}. Determine Upper A union left parenthesis Upper C intersect Upper B right...

content area top Part 1 If two events are mutually exclusive, why is Upper P left parenthesis Upper A and Upper B right parenthesis equals 0? Question content area bottom Part 1 Choose the correct...

If two events are mutually exclusive, why is Upper P left parenthesis Upper A and Upper B right parenthesis equals 0? Question content area bottom Part 1 Choose the correct answer below. A. Upper P...

Choose the correct answer below. A. Upper P left parenthesis Upper A and Upper B right parenthesis equals 0 because A and B cannot occur at the same time. B. Upper P left parenthesis Upper A and...

Use the Venn diagram to determine the set Upper A union left parenthesis Upper A union Upper B right parenthesis prime. U A B 2 6 7 12 13 16 21 23 26 31 38 46 Question content area bottom Part 1...

"And" probabilities can always be determined using the formula P(A and B)equalsP(A)timesP(B). Question content area bottom Part 1 Choose the correct answer below. A. This statement is true. B. This...

Use the formula P(B|A)equalsStartFraction n left parenthesis Upper A and Upper B right parenthesis Over n left parenthesis Upper A right parenthesis EndFraction to find the probability P(not a face...

Complete DeMorgan's laws. a) left parenthesis Upper A union Upper B right parenthesis prime equals(A B)=____ b) left parenthesis Upper A intersect Upper B right parenthesis prime equals(A B)=____...

Describe some of the informal rules of the game that govern what type of individual an MNE can appoint to be the head of a foreign subsidiary.

Explain fluid and it\'s types.

List & explain 2 key statutory obligations required for a non-reporting entity for taxable transactions and reporting

The Singer Division of Patio Enterprises currently earns $2.6 million and has divisional assets of $20 million. The division manager is considering the acquisition of a new asset that will add to...