Answer:
Yes she is correct
Step-by-step explanation:
Suppose before we add and additional element x to a set A the number of subsets are n.
Now we can think of the subsets of the new set A union x as the subsets containing x and the subsets that are not containing x.
The subsets that are not containing x are exactly the former n subsets of A and the subsetes that are containing x is obtained by appending x to each of the n subsets. So we get another n subsets.
Therefore there are n + n =2n subsets which is double of the original subsets.
Therefore, there are n + n = 2n subsets which are doubled of the original subset.
Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as curly bracket {..}.
A ratio is an ordered pair of numbers a and b, written as a/b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given
Every time they add an element to a set, the number of subsets doubles.
Let the number of sets be n
But every time they add an element to a set, the number of subsets doubles.
Then according to the condition,
n + n = 2n
Therefore, there are n + n = 2n subsets which are doubled of the original subset.
More about the sets link is given below.
https://brainly.com/question/8053622
