If D = {1,3,5}, E= {3,4,5}, F= {1,5,10}, then (D∪E) ∪ F is: A) {1,3,4,5} B) {1,5} C) {1,3,4,5,10} D) {1,3,5,10}

Question

asked Mar 22, 2024 191k views

1 Answer

Maynza · Answer 1 · 2024-03-26T07:01:54+0000

$\sf \: D = \: \{1,3,5 \} \:$

$\sf \: E= \{3,4,5 \}$

$\sf \: F= \{1,5,10 \}$

We have to find the value of
$(D \cup E)\cup F$

$\sf \longrightarrow \: (D \cup E) \cup F$

$\sf \longrightarrow \: ( \{1,3,5 \}\cup \{3,4,5 \}) \cup \{1,5,10 \}$

$\sf \longrightarrow \: ( \{1,3,4,5 \}) \cup \{1,5,10 \}$

$\sf \longrightarrow \: \{1,3,4,5 \}\cup \{1,5,10 \}$

$\sf \longrightarrow \: \{1,3,4,5,10 \}$

Thus , (D∪E) ∪ F = {1,3,4,5,10}

____________________________________