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Task number: 3344

Determine which of the following conditions are not equivalent to the condition \(A \subseteq B\). When they are not, try to adjust them using the smallest possible change so that equivalence holds.

  • Variant

    \(A\setminus B=\emptyset\)

  • Variant

    \(A \cup B = B\)

  • Variant

    \(A \cap B = A\)

  • Variant

    \(\overline A \setminus B \subseteq \overline B\)

  • Variant

    \(A \cap \overline B = \emptyset\)

  • Variant

    \(\overline A \subseteq \overline B\)

Difficulty level: Moderate task
Proving or derivation task
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