Question

Please solve the answer above correctly showing detailed working​

Answer 1

Intersection and Union of Sets

Answer:

$A \cup B = \{ a, b, c, d, e \}$

$B \cap C = \{ d, e \}$

$A \cup C = \{ a, b, c, d, e, f \}$

Step-by-step explanation:

Given:

$A = \{ a, b, c, d \}$

$B = \{ b, d, e \}$

$C = \{ d, e, f \}$

The Union ($\cup$) of sets $A$ and $B$ is just a set containing all the elements of sets $A$ and $B$. However, elements that are present in both sets should not repeat in the Union of Sets as the elements of a set should distinct be from each other.

Part i:

$A \cup B \\ \{ a, b, c, d \} \cup \{ b, d, e \} \\ \{ a, b, c, d, e \}$

The Intersection ($\cap$) of sets $A$ and $B$ is just a set containing all the elements that are both present in sets $A$ and $B$.

Part ii:

$B \cap C \\ \{ b, d, e \} \cap \{ d, e, f \} \\ \{ d, e \}$

Part iii:

$A \cup C \\ \{ a, b, c, d, \} \cup \{d, e, f \} \\ \{ a, b, c, d, e, f \}$