Question

Need help finding the value for A

Answer 1

Answer:

$\text{n}(A \bigcup B)$ = 6.

Step-by-step explanation:

We are given that n(A) = 4, n(B) = 5, and $\text{n}(A \bigcap B)$ = 3.

And we have to find the value of $\text{n}(A \bigcup B)$.

As we know that the union formula is given by;

$\text{n}(A \bigcup B) = \text{n}(A) + \text{n}(B) - \text{n}(A \bigcap B)$

Now, substituting the values given in the question in the above formula, we get;

$\text{n}(A \bigcup B) = 4+5-3$

$\text{n}(A \bigcup B) = 9-3$

$\text{n}(A \bigcup B) = 6$

Hence, the value of $\text{n}(A \bigcup B)$ = 6.