Answer:
Option C. 10
Step-by-step 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}
