Question

In the equation `x+y=5`, the value for x is a whole number greater than 2 but less than 6. How do you determine the possible solutions for y?

Answer 1

`y ∈ {0,1,2}`

Explanation:

If `2< x <6` , it means that `x ∈ {3,4,5}`.

For x = 3
`3+y=5 =>y = 2`
For x = 4
`4+y=5 =>y = 1`
For x = 5
`5+y=5 =>y = 0`

Therefore `y ∈ {0,1,2}`