Find the Set Complement A \ B A=(a,c,h,d,g) , B=(d,i,b,a,c,g)

Problem

A∖B,A={a,c,h,d,g},B={d,i,b,a,c,g}

Solution

1. Identify the elements of set A and set B

A={a,c,h,d,g}

B={d,i,b,a,c,g}

2. Apply the definition of the set complement A∖B which consists of all elements that are in A but are not in B

A∖B={[x∈A,x∉B]}

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

• a∈B (Exclude)

• c∈B (Exclude)

• h∉B (Keep)

• d∈B (Exclude)

• g∈B (Exclude)

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

A∖B={h}

Final Answer

A∖B={h}

Want more problems? Check here!