Determine whether the following generalizations are true or false. 1.  If x and y are both elements of W, then their sum x +y is also an element of W. 2.if x is an element within W, then (0 + x) =(x+0)=x 3.  If x, y and z are all elements of W, then x+(y+z)=(x+y)+z 4.  For every whole number x, there exists another whole number whose number x to the first power such that x to the first power + x = 0

Determine whether the following generalizations are true or false.

1.  If x and y are both elements of W, then their sum x +y is also an element of W.

2.if x is an element within W, then (0 + x) =(x+0)=x

3.  If x, y and z are all elements of W, then x+(y+z)=(x+y)+z

4.  For every whole number x, there exists another whole number whose number x to the first power such that x to the first power + x = 0