# Thread: About the smallest possible and the largest possible value of x and y

1. ## About the smallest possible and the largest possible value of x and y

Given $\displaystyle x$ and $\displaystyle y$ are integeres such that $\displaystyle -4<x<9$ and 3 equals to or less than y and y is equal to or less than 8, find

a) the smallest possible value of $\displaystyle x^2 + y^2$,

b) the largest possible value of $\displaystyle x + y$ over $\displaystyle y$.

I appreciate your toil and kindness wholly. May God bless to you who solve my doubts.

2. x = -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
y = 3, 4, 5, 6, 7, 8

Minimum x^2 + y^2 = 0^2 + 3^2 = 9

Maximum (x + y) / y = (8 + 3) / 3 = 11/3

Both EVIDENT; is there more to your question?