What does the shaded portion of the Venn diagram given above represent?

Question

What does the shaded portion of the Venn diagram given above represent? (A) (P ∩ Q) ∩ (P ∩ R) (B) ((P ∩ Q) - R) ∪ ((P ∩ R) -Q) (C) ((P ∪ Q) -R) ∩ ((P ∩ R) -Q)  (D) ((P ∩ Q) ∪ R) ∩ ((P ∪ Q) -R)

Tardigrade Admin · Accepted Answer

In the given Venn diagram, shaded area between sets P an Q is

(P \cap Q) - R

and shaded area between P and R is

(P \cap R) - Q

. So, both the shaded area is union of these two area and is represented by

((P \cap Q) - R) \cup ((P \cap R) - Q)

.

Q. What does the shaded portion of the Venn diagram given above represent?

$(P \cap Q) \cap (P \cap R)$

$((P \cap Q) - R) \cup ((P \cap R) - Q)$

$((P \cup Q) - R) \cap ((P \cap R) - Q)$

$((P \cap Q) \cup R) \cap ((P \cup Q) - R)$

In the given Venn diagram, shaded area between sets P an Q is $(P \cap Q) - R$ and shaded area between P and R is $(P \cap R) - Q$ . So, both the shaded area is union of these two area and is represented by
$((P \cap Q) - R) \cup ((P \cap R) - Q)$ .

Q. What does the shaded portion of the Venn diagram given above represent?

(P∩Q)∩(P∩R)

((P∩Q)−R)∪((P∩R)−Q)

((P∪Q)−R)∩((P∩R)−Q)

((P∩Q)∪R)∩((P∪Q)−R)

In the given Venn diagram, shaded area between sets P an Q is (P∩Q)−R and shaded area between P and R is (P∩R)−Q. So, both the shaded area is union of these two area and is represented by ((P∩Q)−R)∪((P∩R)−Q).

$(P \cap Q) \cap (P \cap R)$

$((P \cap Q) - R) \cup ((P \cap R) - Q)$

$((P \cup Q) - R) \cap ((P \cap R) - Q)$

$((P \cap Q) \cup R) \cap ((P \cup Q) - R)$

In the given Venn diagram, shaded area between sets P an Q is $(P \cap Q) - R$ and shaded area between P and R is $(P \cap R) - Q$ . So, both the shaded area is union of these two area and is represented by
$((P \cap Q) - R) \cup ((P \cap R) - Q)$ .