Question

How to graph inequalities, and give an example

Answer 1

Answer

0. Solving for one variable using the same algebraic methods as one would use for an equation.

,

1. If the inequality has two variables, we also have to solve for one variable and graph it in a coordinate plane.

Explanation

One way of graphing inequalities is:

0. Solving (isolating) for one variable using the same algebraic methods as one would use for an equation.

,

1. If the inequality has one variable, then with step 1 can be graphed. However, if the inequality has two variables, we also have to solve for one variable and graph it in a coordinate plane.

For example,

$-3x+y>-3$

Solving for y:

$y\gt3x-3$

Then, we would have to graph the line:

$y=3x-3$

where the y-intercept (the point where the line crosses the y-axis) is -3, and the slope is 3. Thus, we would have to draw point (0, –3), and get the others based on the line. However, as the inequality is y greater than (>) the expression, the line should be dashed, since the solution does not include values equal to the line, and we would take the values greater than that, meaning: