Question

How do you solve `y ≥ 3x + 6`?

Answer 1

You could draw a graph or rewrite the inequality in terms of `y` as a variable for `x`, but fundamentally `y>=3x+6` is a solution form.

Explanation:

As a graph
graph{y>=3x+6 [-10, 10, -5, 5]}

Rewritten, solving for `x` in terms of `y`
`color(white)("XXXX")` `y >= 3x+6`

`color(white)("XXXX")` `y-6 >= 3x`

`color(white)("XXXX")` `y/3-2 <= x`
or
`color(white)("XXXX")` `x<= y/3-2`