Question

For two sets (A∩B) = A if * 1 point A⊆B B⊆A A = B A≠B

Answer 1

Answer:

Step-by-step explanation:

Proof. First assume that A ⊆ B. If x ∈ A ∩ B, then x ∈ A and x ∈ B by

definition, so in particular x ∈ A. This proves A ∩ B ⊆ A. Now if x ∈ A,

then by assumption x ∈ B, too, so x ∈ A ∩ B. This proves A ⊆ A ∩ B.

Together this implies A = A ∩ B.

Now assume that A ∩ B = A. If x ∈ A, then by assumption x ∈ A ∩ B, so

x ∈ A and x ∈ B. In particular, x ∈ B. This proves A ⊆ B

HOPE IT HELPS :D

stay safe :3