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Is A = {x:x+3 = 3 and x € N } an empty set? Explain.​

Sagot :

Answer:

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Step-by-step explanation:

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Given set is A = {x:x+3 = 3 and x € N }

A is an empty set .

Reason :-

Put x = 1 then x+3 = 1+3 = 4

Put x = 2 then x+3 = 2+3 = 5

If we put x = 1,2,3...

We get { 4,5,6...}

So there is no natural number for x to get x+3 = 3

So ,There is no element to write for the set A

A is an empty set .

Note :-If x€W then x+3 = 0+3 = 3 then A is not an empty set .