What is the set : `{x:x in R, x^2=9, 2x=4}` ?

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

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 A= {x: x^2 =4, x is odd} is :

State whether the following set is finite or infinite : B= {x:x in N and x^2=9 }

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A = {1, 2, 3,......, 13, 14} defined as R={(x,y): 3x-y=0} (ii) Relation R in the set N of natural numbers defined as R={(x,y): y=x+5 " and " x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} defined as R = {(x, y): y is divisible by x}. iv) Relation R in the set Z, of all integers defined as R = {(x, y) : x -y is an integer}.

Taking the set of natural numbers as the universal set, write down the complements of the following set: { x : 2x + 5 = 9}

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 }