Question

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}​

Answer 1

GiveN:-

`\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}

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• C] {1,3,4,5,10} ✅