Math Is Fun Forum

Problem 1:

{0} ≠ 0 , what does it mean? What does zero ( on right hand side) represent here?

Problem 2 :

Please tell me how to solve it:

The set S and E are defined as given below :

S : { (x,y) : |x-3| < 1 and |y-3| < 1}

E : { (x,y) :   4x^2 + 9y^2 - 32x - 54y + 109 ≤ 0}

Show that S is the proper subset of E.

I will be thankful for ur help.