Show that if A ⊂ B, then C – B ⊂ C – A.
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To show,
C – B ⊂ C – A
According to the question,
Let us assume that x is any element such that
X ∈ C – B
∴ x ∈ C and x ∉ B
Since,
A ⊂ B, we have,
∴ x ∈ C and x ∉ A
So, x ∈ C – A
∴ C – B ⊂ C – A
Hence, Proved.
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