Question

Suppose y is a positive integer.If x-(-y)=z will z be greater than x ?

Answer 1

Answer:

Yes, z will be greater than x.

Step-by-step explanation:

Given expression is $x- (-y)=z \ for \ y \ is \ a \ positive \ integer.$

now let y = 2 and x = 1

Then, $x- (-y)=z \\1+2 = 3$

where $z> x$ i.e. 3 > 1

on simplifying the given  expression in terms of y

$y=z-x$

now suppose if x = 7 and z=3 then,

$y = (z-x) = (3-7) = (-4)$

which gives value of y in terms of negative integer which is not possible according to the given statement since y is a positive integer. Therefore, if y is a positive integer then  z will be greater than x.

Answer 2

Integers are all numbers without decimal point.

z will always be greater than x

Given that:

$x - (-y)=z$

Open the bracket

$x + y=z$

Rewrite as:

$z =x + y$

From the question, we understand that y is positive.

This means that, irrespective of whether x is positive or negative; the value of z will always be greater than x.

Read more about integers at:

https://brainly.com/question/1768254