Question

How do you graph the inequality `5x + y <7`?

Answer 1

Let's first solve for y, to convert to slope intercept form, `y = mx + b`

Explanation:

`y < 7 - 5x`

Now, let's graph the line (the equation you'll use is `y = -5x + 7`)

We know the y intercept of this line is 7 and the slope is -5.

graph{y = -5x + 7 [-10, 10, -5, 5]}

Since the smaller side `(x<)`, is the y, you will shade everything under the y intercept and to the left of the line. Following these instructions, we get the following:

graph{y < -5x + 7 [-10, 10, -5, 5]}