Question

I'm taking a special math class to help in prove in a few areas before the real stuff begins. Heres the question.

The equation x + y = z relates the whole numbers x, y, and z. How does z compare to x?

y is z less than x.
y is z more than x.
x is y less than z.
x is y more than z.

Answer 1

Well,

Notice that since x and y are whole numbers, we can deduce that z is greater than either x or y. X or y cannot be negative.

Think of each option as an equation.

A. y = x - z
B. y = x + z
C. x = z - y
D. x = z + y

We can discard the first option because if we subtract z, which is larger than both numbers, from x, we will get a negative number. Y is a whole number.

We can discard the second option because if we add x and z, we will get a quantity larger than y.

The third option is true.

x = z - y

Add y to both sides.
x + y = z

Exactly the same as the original equation. If you tried to solve for z in the other equations, you would find that you can't obtain the original equation.

The correct option is C.

Answer 2

whole numbers are numbers that are not fractions and do not include negative numbers
an example is
0,1,2,3,4,5,....

so let's see if any numbers make the statements fale
y is z less than x
y=-z+x
does this equal y+x=z?
y=-z+x
add z
y+z=x
subtract y
z=-y+x
not equal to z=y+x
so first is not the answer

y is z more than x
y=z+x
subtract x
y-x=z
not equal to z=y+x
so secod is not answer either


x is y less than z
x=-y+z
add y
x+y=z
this is equal to x+y=z to this is correct

xis y more than z
x=y+z
subtract y
x-y=z
this is not equal to x+y=z

therefor the answer is x is y less than z