Question

A=B or not A={x:x2-1=0,x€N} B={-1,1} full working​

Answer 1

Answer:

A ≠ B

Step-by-step explanation:

A = {x : x² - 1 = 0, x € N}

A is a set of natural number x, which satisfy x² - 1 = 0

On solving, we get x = ± √1 → x = 1,-1.

But set A has property according to which x must be a 'natural number'. As - 1 is not a natural number, it can't be in set A.

So, A = {1}

But B = {-1, 1}

Notice that set B has - 1, but A doesnt.

Which means, A ≠ B