Set operations

We can perform the following operations on sets:

• Union: Given two sets, this returns a new set with elements from both the given sets

• Intersection: Given two sets, this returns a new set with the elements that exist in both sets

• Difference: Given two sets, this returns a new set with all the elements that exist in the first set and do not exist in the second set

• Subset: This confirms whether a given set is a subset of another set

Set union

The mathematic concept of union is: the union of sets A and B, denoted by:

This set is defined as:

This means that x (the element) exists in A or x exists in B. The following diagram exemplifies the union operation:

Now, let's implement the union method in our Set class via the following code:

this.union = function(otherSet){ 
  let unionSet = new Set(); //{1} 
 
  let values = this.values(); //{2} 
  for (let i=0; i<values.length; i++){ 
    unionSet.add(values[i]); 
  } 
 
  values = otherSet.values(); //{3} 
  for (let i=0; i&lt...