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Determine whether statement are true or false. Justify your answer.For all sets A, B and C, if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C |
Answer» True According to the question, 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 “for all sets A, B and C, if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C” is true |
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