Question

The Venn diagram shows the number of elements in each set.
Find n (P'ng

Answer 1

Option C. 10

Explanation:

From the question given above, the following data were obtained:

P = {3}

Q = {10}

PnQ = {5}

(PuQ)ᶜ = {9}

PᶜnQ =?

Next, we shall determine the complement of P (Pᶜ).

Complement of P (Pᶜ) are elements found in the universal set but not found in the set P. The complement of P (Pᶜ) can be obtained as follow:

Universal set (U) = {3,5,10,9}

P = {3}

Pᶜ = {5,10,9}

Finally, we shall determine PᶜnQ. This can be obtained as follow:

Q = {10}

Pᶜ = {5,10,9}

PᶜnQ = Elements common to both Pᶜ and Q.

PᶜnQ = {10}