Question

Find each of the following differences {h , I, j ,k } - {k}.

a) {h, I, j} - {k} = {h, I, j}
b) {h, I, j, k} - {k} = {h, I, j}
c) {h, I, j, k} - {k} = {h, I, j}
d) {h, I, j, k} - {k} = {h, I, j}

Answer 1

The difference between the sets {h, I, j, k} and {k} is always {h, I, j}, as we remove the element 'k' from the first set to find the difference.The correct option is A.

Step-by-step explanation:

When we are asked to find the difference between two sets, we are looking for the elements that are in the first set but not in the second. In this case, we are given the sets {h, I, j, k} and {k}. When we subtract the second set from the first, we remove any instances of the element 'k' from the first set. The resulting set, after this subtraction, is {h, I, j}.

The answers to all options a) {h, I, j} - {k}, b) {h, I, j, k} - {k}, c) {h, I, j, k} - {k}, and d) {h, I, j, k} - {k} is the same because regardless of how the first set is presented, we are simply removing the element 'k' in each case.