Find the Set Complement B \ A A=(2,4,6,8) , B=(1,4,9)

Problem

B∖A,A={2,4,6,8},B={1,4,9}

Solution

1. Identify the elements of set B and set A

A={2,4,6,8}

B={1,4,9}

2. Apply the definition of the set complement (relative complement), which consists of all elements that are in B but not in A

B∖A={x∈B:x∉A}

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

1∈B,1∉A⇒Keep *1

4∈B,4∈A⇒Exclude *4

9∈B,9∉A⇒Keep *9

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

B∖A={1,9}

Final Answer

B∖A={1,9}

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