Given set a = {x l x ∈ n and x > 2}, and set b = {x l x > 2}; explain the difference between set a and set b

A natural number is a number that is a whole, non-negative number. The set of natural numbers, denoted N, can be defined as:

N = {0, 1, 2, 3, ...}

Now we are given two sets A and B:

A = {x l x ∈ N and x > 2}, and set B = {x l x > 2};

So the difference between the two sets is :

Set A is the set of all natural numbers greater than 2

Set B is the set of all positive numbers greater than 2, including fractional numbers.

true statements:

a) x + y = y + x   ⇒ commutative property of addition

b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication

d) (x + y) + z = x + (y + z) ⇒ associative property of addition

false statements:

c) x - y = y - x   should be: x - y = - y + x

e) (x - y) - z = x - (y - z) should be: (x - y) - z = x - (y + z)

step-by-step explanation: