Question

How do you graph Inequalities?

Answer 1

It’s slightly different for 1-variable vs 2-variable inequalities, but the basic idea is the same: you show all the possible values that satisfy the inequalities

For example, if you have x > 3 on a number line you draw an open circle on x = 3 and draw an arrow to the right from the circle, showing that the solutions are every value greater than 3

Answer 2

For 2 variable inequalities, let’s say you have

y < x + 1

You would graph y = x + 1. You change the line to a dashed line to show that the values on the line y = x + 1 are not included (remember it’s y less than x + 1). Then you shade the area below the line to show that the solutions are all y values below the line

Answer 3

Some conventions to remember:

For 1-variable inequalities: use open circles for < and > signs and closed circles for ≤ and ≥ signs.

For 2-variable inequalities: solve the inequality for y and use the direction of the inequality sign to decide whether to shade above or below. For < and > signs use dashed lines and for ≤ and ≥ signs use solid lines.

Let me know if anything was confusing or you’d like to try some hw problems

Answer 4

Thank you for this Vocaloid I will write all of these in my notes nothing was confusing and everything was understandable : )