If A - B = ϕ, then which of the option is correct?

  1. \(\rm A\nsubseteq B\)
  2. A ⊂ B
  3. B ⊂ A
  4. None of these

Answer (Detailed Solution Below)

Option 2 : A ⊂ B
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NDA 01/2025: English Subject Test
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Detailed Solution

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Concept:

  • Difference of two Sets: Let A and B be two sets then A – B = {x : x ∈ A and x∉ B}

Calculation:

Given that: A - B = ϕ

As we know that, if A and B are two sets then A – B = {x : x ∈ A and x∉ B}

So, if A - B = ϕ it means that all elements of A are also present in B.

As we know that, if all the elements of A are present in B then A ⊂ B

Hence, option 2 is correct.

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