Are sets A = { –2,2}, B = { x : x ϵ Z, IxI-2 = 0} equal? Why?

Find the (a) union (b) intersection of the following pair of sets : A = {x : x in Z^(+)} , B= { x : x in Z and x<0}.

Are the following pair of sets equal ? Give reasons. A={2, 3}, B= {x : x is solution of x^2 + 5x + 6 = 0}

The set of A= {x:x in R, x^2=16 and 2x=6} equals :

If A = {x: x in Z and x ge 2} , B= {x: x in Z and x le 4} , then A cap B is equal to:

Are the following pairs of sets equal ? Give reasons. A={2,3}, B={x:x is solution of x^2+3x+2=0 }

Find the pairs of equal sets from the following sets , if any, giving reason : A={0}, B= {x:x>15 and x<5} , C={x:x-5=0}, D ={x:x^2=25}, E={x : x is an integral positive root of the equation x^2-2x-15=0 } .

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b): a = b} are equivalence relations.

Show that the relation R in the set : R = {x : x in Z, 0 le x le 1 2}, given by : R = {(a, b) : |a - b| is a multiple of 4} is an equivalence relation.

The set {x:x is an integer and -3 < x le 2 } is equal to:

Are the following sets equal ? Give reasons: A = {n :n in Z and n^2le4 }, B= {x:x in R and x^2-3x+2=0 }