A - B - B - C -A- A - BB- B - CC- A - B - CD- A-C

The correct option is A A B (A B) (B C) [∵ A B= A ∩B' ] =(A ∩B') ∩(B ∩C')' =(A ∩B') ∩(B' ∪ C) [∵(A ∩ B)'= A' ∪B'] = A ∩ [B' ∩ (B' ...

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Byju's Answer

Standard IX

Mathematics

de-Morgan's Laws for Set Difference

A - B - B - C...

Question

$(A - B) - (B - C) =$ _____

A - B

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B - C

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A - C

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A - B - C

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Solution

The correct option is A
A - B

$(A - B) - (B - C) [∵ A - B = A \cap B^{'}] = (A \cap B^{'}) \cap {(B \cap C^{'})}^{'} = (A \cap B^{'}) \cap (B^{'} \cup C) [∵ {(A \cap B)}^{'} = A^{'} \cup B^{'}] = A \cap [B^{'} \cap (B^{'} \cup C)] = A \cap B^{'} = A - B$

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Similar questions

$(A - B) - (B - C) =$ ___

Match the entries given in column A with appropriate ones from column B
$\begin{matrix} Column A & Column B (A) Invisible atoms & (a) Rutherford's atomic model (B) Mass of an atom is concentrated at the centre & (b) Dalton's atomic theory (C) Energy levels & (c) Thomson's atomic model (D) Plum pudding model & (d) Bohr's model \end{matrix}$

Q. If

a, b, c

are real numbers, then

a (a - b) + b (b - c) + c (c - a) = 0,

only if

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

(A - B) \cap (C - B) =

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(A−B)−(B−C)=_____

The correct option is A A - B (A−B)−(B−C) [∵A−B=A∩B′]=(A∩B′)∩(B∩C′)′=(A∩B′)∩(B′∪C) [∵(A∩B)′=A′∪B′]=A∩[B′∩(B′∪C)]=A∩B′=A−B

$(A - B) - (B - C) =$ _____

The correct option is A
A - B

$(A - B) - (B - C) [∵ A - B = A \cap B^{'}] = (A \cap B^{'}) \cap {(B \cap C^{'})}^{'} = (A \cap B^{'}) \cap (B^{'} \cup C) [∵ {(A \cap B)}^{'} = A^{'} \cup B^{'}] = A \cap [B^{'} \cap (B^{'} \cup C)] = A \cap B^{'} = A - B$