Question

A = {red, green, blue, yellow} B = {orange, purple, black, blue} Find A U B.

Answer 1

The union of sets A and B, A U B, includes all unique elements from both sets. In this case, A U B equals {red, green, blue, yellow, orange, purple, black}.

Step-by-step explanation:

The union of two sets A and B, denoted as A U B, consists of all elements that are in A, or B, or in both. To find the union, you combine the elements from each set without duplicating any elements.

• A = {red, green, blue, yellow}
• B = {orange, purple, black, blue}

Now combine these sets, keeping each distinct element only once:

A U B = {red, green, blue, yellow, orange, purple, black}

Note that 'blue' is included only once despite appearing in both sets. The question also leads to understanding the concept of set theory, which is a fundamental part of Mathematics.

Answer 2

A∪B={ red , green , blue , yellow , orange , purple , black }

Step-by-step explanation:

Let A and B be two subsets Then A∪B represents the union of the two subsets which means that it consists of the elements present in A or B or in both A and B.

given A={ red , green , blue , yellow }

B={ orange , purple , black , blue }

Now A∪B={ red , green , blue , yellow , orange , purple , black }

for getting above first write all the elements in A then start writing elements of B and skip those elements of b which are already present in A and write all the elements of B.