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For all sets A, B and C, if A sub B, th...

For all sets `A, B` and C, if `A sub B`, then `A nn C sub B nn C`.

Text Solution

Verified by Experts

Let `x in A nn C`
`rArr x in A` and `x in C`
`rArr x in B` and `x in C, [:' A sub B]`
`rArr x in (B nn C) rArr (A nn C) sub (B nn C)`
Hence , given statement is true.
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