Question

How do you solve the compound inequality `k+2>12` and `k+2<=18`?

Answer 1

`10 < k <= 16`

Explanation:

Isolate the variable `k` by subtracting `2` on both sides of the equation:
`k + 2 > 12`
`k + 2 - 2 > 12 - 2`
`k > 10` or `10 < k`

`k + 2 <= 18`
`k + 2 - 2 <= 18 - 2`
`k <= 16`

In a combined statement: `10 < k <= 16`