Constraint System Math Example 3

Follow the full solution, then compare it with the other examples linked below.

easy

List the integer solutions of

x + y = 5

with

x \geq 1

and

y \geq 1

1
Try $x = 1$ : $y = 4$ . Try $x = 2$ : $y = 3$ . Try $x = 3$ : $y = 2$ . Try $x = 4$ : $y = 1$ .
2
Solutions: $(1,4), (2,3), (3,2), (4,1)$ .

Answer

(1,4), (2,3), (3,2), (4,1)

With integer constraints, we can enumerate all possibilities that satisfy every condition.

About Constraint System

A collection of equations and inequalities that must ALL be satisfied simultaneously by the same set of variable values.

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