Question

1. If AUB=AnB, then _______.​

Answer 1

Answer:

if Au B = A n B then A= B

please mark it as brainlist if it helps ✨✨

Answer 2

If A ∪ B = A ∩ B then A = B

Given :

If A ∪ B = A ∩ B then _____

To find :

To fill in the blank

Solution :

Step 1 of 3 :

Show that A ⊆ B

Let x ∈ A

⇒ x ∈ A ∪ B

⇒ x ∈ A ∩ B [ ∵ A ∪ B = A ∩ B ]

⇒ x ∈ B

∴ A ⊆ B - - - - - - (1)

Step 2 of 3 :

Show that B ⊆ A

Let y ∈ B

⇒ y ∈ A ∪ B

⇒ y ∈ A ∩ B [ ∵ A ∪ B = A ∩ B ]

⇒ y ∈ A

∴ B ⊆ A - - - - - - (2)

Step 3 of 3 :

Find the result

From (1) & (2) we get A = B

Hence we can conclude that ,

If A ∪ B = A ∩ B then A = B

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