Let A, B and C be sets such that φ ≠ A ⋂ B ⊆ C. Then which of the following statements is not true

Engineering

Mathematics

Sets

Question

$B \cap C \neq ϕ$

$If (A - B) \subseteq C . then A \subseteq C$

$If (A - C) \subseteq B, then A \subseteq B$

$(C \cup A) \cap (C \cup B) = C$

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Let A = {1, 2, 3, 4} B = {3, 4, 5, 6} C = {1, 2, 3, 4, 7, 8}

$Here A \cap B = {3, 4} \subseteq C$

A – C = φ $⊑$ B

but $A \subseteq B$

So not true (wrong) statement is 4^th

If A – C $⊑$ B then A $⊑$ B