Find the Set Complement B \ A

Problem

B∖A,A={1,3,5,7,9,11,13,15,17,19},B={3,6,9,12,15,18}

Solution

1. Identify the elements of set B and set A

A={1,3,5,7,9,11,13,15,17,19}

B={3,6,9,12,15,18}

2. Understand the definition of the set complement B∖A (also written as B−A, which consists of all elements that are in B but are not in A

B∖A={x∈B:x∉A}

3. Compare each element of B against the elements of A to see if it should be excluded.

• 3∈A (Exclude)

• 6∉A (Include)

• 9∈A (Exclude)

• 12∉A (Include)

• 15∈A (Exclude)

• 18∉A (Include)

4. List the remaining elements from B to form the resulting set.

B∖A={6,12,18}

Final Answer

B∖A={6,12,18}

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