Question

Graph the following inequality. Then click to show the correct graph.


3x - 2y ≤ 6

Answer 1

We want to graph the inequality:

3x - 2y ≤ 6

The first step is to write this as a linear equation, to do it, we can isolate y in one side of the inequality.

3x ≤ 6 + 2y

3x - 6 ≤ 2y

(3/2)x - 6/2 ≤ y

(3/2)x - 3 ≤ y

or:

y ≥ (3/2)x - 3

Because we have the symbol ≥

The points on the line are solutions, then the first part is to graph the line:

y = (3/2)*x - 3

Next, we have:

y equal to or larger than (3/2)*x - 3

Then we need to shade all the region above that line.

The graph can be seen below.