[" Let the sets be "A={x:x in Z^(+)" and "x<=9}" ,"],[B={x:x in Z" and "-3

Are these sets equals? A={x:x in Z and x^(2)<=4}B={x:x in R and x^(2)-3x+2=0}

Let R be the relation on set A={x:x in Z, 0 le x le 10} given by R={(a,b):(a-b) "is divisible by " 4} . Show that R is an equivalence relation. Also, write all elements related to 4.

State which of the following sets are finite and which are infinite: B = {x:x epsilon Z" and "x^2" is even"}

State which of the following sets are finite and which are infinite: A= {x:x epsilon Z" and "x^2=36}

State which of the following sets are finite and which are infinite: A= {x:x epsilon Z" and "x gt -10}

Let Z be the set of integers. If A = {x in Z : 2^((x + 2)(x^(2) - 5x + 6)} = 1 and B = {x in Z : -3 lt 2x - 1 lt 9} , then the number of subsets of the set A xx B is

Let Z be the set of integers. If A= { x in Z : 2^((x+2)(x^(2)-5x+6)) =1} and B={x in Z: -3 lt 2x -1 lt 9}, then the number of subsets of the set A xx B , is

The relation on the set A={x|x|<3,x,in Z} is defined by R={(x,y);y=|x|,x!=-1}, Then the numbers of elements in the power set of R is