Q17 of 58 Page 12

Determine whether each of the statement in

For all sets A, B and C, if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C

Given: There are three sets A, B and C


To check: if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C is true or false


Let x ∈ A ∪ B


⇒ x ∈ A or x ∈ C


⇒ x ∈ C or x ∈ C {∵ A ⊂ C and B ⊂ C}


⇒ x ∈ C


⇒ A ∪ B ⊂ C


Hence, the given statement is true


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