Question

If a is subset of b then prove c-b is subset of c-a

Answer 1

given A is a subset of B

c-b=all elements of c but not element of B

c-a=all elements of c but not element of a

it means c-b is a subset of c-a

cause a is a subset of b

for an example

we have in set A -{1,2}

B-{1,2,3,4}

here a is subset of b

another set c-{1,2,3,4,5,6,7}

where c-a={3,4,5,6,7}

c-b={5,6,7}

it proves c-b is a subset of c-a

hope it will help u

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