1.

If A, B, C are three sets such that A ⊂ B, then prove that C – B ⊂ C – A.

Answer»

Given as, ACB

To prove the C – B ⊂ C – A

Consider, x ∈ C – B

⇒ x ∈ C and x ∉ B

⇒ x ∈ C and x ∉ A

⇒ x ∈ C – A

Hence, x ∈ C–B ⇒ x ∈ C – A

This is true for all x ∈ C – B

∴ C – B ⊂ C – A

Thus proved.



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