Question

Graph x + 3y ≤ 6, indicating the solution set with crosshatching or shading. Explain how you determined where to draw the line and shade the area that represents the solution set.

Answer 1

You graph the line by solving for y. So the line is at y< 1/3x+3. You shade anything below the line because all numbers the make the line true has to be less than or equal to that line. 

Answer 2

The graph of the inequalitiy can be seen at the end of the answer

How to graph the inequality?

Here we have the inequality:

x + 3y ≤ 6

First, we isolate y on one side.

3y ≤ 6 - x

y ≤ 6/3 - x/3

y ≤ -x/3 + 2

So first, we need to graph the line:

y = -x/3 + 2

Because we use the symbol "≤", we need to shade the region below the line, and the line must be a solid line, as the points on the line itself are solutions. The graph can be seen below.

If you want to learn more about inequalities:

https://brainly.com/question/18881247

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