Show that \( A \cap B=A \cap C \) need not imply \( B=C \). Hint. Let \( \mathrm{A}=\{1,2\}, \ma...

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For three sets \( A, B \) and \( C \), show that \( A \cap B=A \cap C \) need not imply \( B=C \). For three sets \( A, B \) and \( C \), show that \( A \cap B=A \cap C \) need not imply \( B=C \).
Show that A cap B = A cap C need not impl B=C | CLASS 12 | SET THEORY AND REAL NUMBER SYSTEM |... Show that A cap B = A cap C need not impl B=C | CLASS 12 | SET THEORY AND REAL NUMBER SYSTEM |...
For three sets A, B and C, show that A ⋂ B = A ⋂ C need not imply B = C. For three sets A, B and C, show that A ⋂ B = A ⋂ C need not imply B = C.
Show that A∩B=A∩C need not imply B=C. #sets #maths #class11 #bkmathursir Show that A∩B=A∩C need not imply B=C. #sets #maths #class11 #bkmathursir
Show that `A nnB = A nnC` need not imply `B = C` .... Show that `A nnB = A nnC` need not imply `B = C` ....
Find sets \( A, B \) and \( C \) such that \( A \cap B, A \cap C \) and \( B \cap C \) are non-e... Find sets \( A, B \) and \( C \) such that \( A \cap B, A \cap C \) and \( B \cap C \) are non-e...
Proof by Cases Proof by Cases
For three sets A, B and C, show that A ⊂ B ⇒ C - B ⊂ C - A For three sets A, B and C, show that A ⊂ B ⇒ C - B ⊂ C - A