If A= {-2,-1, 1, 2, 3, 0}, B= {0, 1, 2, 3}. Find n(A-B).Instructions: just write the number in the provided blank.

Break Down the Problem

1. Identify the sets:

   • Set A = {-2, -1, 1, 2, 3, 0}
   • Set B = {0, 1, 2, 3}

2. Determine $A - B$: This operation represents the elements that are in A but not in B.

Relevant Concepts

The difference of two sets $A - B$ is defined as: $A - B = \{ x \in A \mid x \notin B \}$

Analysis and Detail

1. List the elements of Set A: {-2, -1, 1, 2, 3, 0}
2. List the elements of Set B: {0, 1, 2, 3}
3. Identify which elements of set A are not present in set B:
   • -2 is not in B.
   • -1 is not in B.
   • 1 is in B.
   • 2 is in B.
   • 3 is in B.
   • 0 is in B.

So, $A - B = \{-2, -1\}$

Verify and Summarize

Count the number of elements in $A - B$:

• The remaining elements are {-2, -1}, which gives us a total of 2 elements.

Final Answer

The number of elements $n(A - B)$ is 2.