How do you graph #y ≤ 3x + 5#?
1 Answer
graph{y<=3x+5 [-18.85, 17.2, -5.48, 12.54]}
Note that the area under the function is shaded.
Explanation:
We need to take a moment and not think of functions and x-y relations as just the relationship between x and y. Instead, think of it as a collection of points that satisfy a condition.
For example, let us suppose the line
It can also be interpreted as a collection of all points whose
In mathematics, we call this a set.
So, we can say that this is a set of all points who satisfy y=x, and we write it like this:
This is a very helpful intuition to have later on, for example with the circle equation:
graph{x^2+y^2=1 [-2.43, 2.435, -1.215, 1.217]}
Instead of thinking of this as a function
Back to your inequality, think of it as a set of all points who satisfy
Start by drawing