Answer:
[tex]\text{n}(A \bigcup B)[/tex] = 6.
Step-by-step explanation:
We are given that n(A) = 4, n(B) = 5, and [tex]\text{n}(A \bigcap B)[/tex] = 3.
And we have to find the value of [tex]\text{n}(A \bigcup B)[/tex].
As we know that the union formula is given by;
[tex]\text{n}(A \bigcup B) = \text{n}(A) + \text{n}(B) - \text{n}(A \bigcap B)[/tex]
Now, substituting the values given in the question in the above formula, we get;
[tex]\text{n}(A \bigcup B) = 4+5-3[/tex]
[tex]\text{n}(A \bigcup B) = 9-3[/tex]
[tex]\text{n}(A \bigcup B) = 6[/tex]
Hence, the value of [tex]\text{n}(A \bigcup B)[/tex] = 6.
