Questions: A Venn diagram of A and B is given below Find (A ∩ B)^c.

Transcript text: A Venn diagram of $A$ and $B$ is given below Find $(A \cap B)^{c}$.

Solution

Solution Steps

Step 1: Identify the intersection of A and B

The intersection of A and B, denoted as (A∩B), represents the elements that are common to both sets A and B. In the Venn diagram, this is the overlapping region of the two circles.

Step 2: Find the values in the intersection

The values in the overlapping region are 8 and 3.

Step 3: Determine the complement of the intersection

The notation (A∩B)ᶜ represents the complement of (A∩B). This includes all the elements that are _not_ in the intersection of A and B. In the context of the Venn diagram, this includes all numbers within the rectangle that are not within the overlapping section.

Step 4: Identify the values in the complement

The values in (A∩B)ᶜ are 14, -6, 7, 2, -5, and 0.