Drawing a number line helps visualize 'x is less than 4'. We mark 4 with a circle, not a dot, because 4 isn't included. Then, we color the line below 4, showing all values less than 4. Easy …

If we have either the > ― ‍ or < ― ‍ symbol in our inequality, we shade in the circle to show that the variable may be equal to that number. For example, y < ― 3 ‍ is graphed as follows:

We can see how, when we approach the point where x = 2 ‍ on the graph, the y ‍ -values are getting closer and closer to 4 ‍ . Created with Geogebra . We can also look at a table of values:

We can graph a piecewise function by graphing each individual piece. A piecewise function is a function that is defined in separate "pieces" or intervals. For each region or interval, the …

A closed circle means "Also includes this point" (like <= & >=). A good way to remember is that an open circle ( ) is not colored in so the point it is on is NOT included. A closed circle (•) is …

A closed circle is for when the number is equal or less than the number provided. An open circle is for when the number is greater than the number provided

You would write your inequality in interval notation as: (-2, 5) The parentheses tell you that the inequalities do not include the end values of -2 and 5.

Open and closed circles are used to show whether a number is included or excluded from a certain range of numbers. For example, if the range was "x > 5" the line would have an open …

Now if your hand is closed around an item you can contain it within your hand. For an inequality example, let's use 2 ≥ x. the circle is closed because 2 is contained and agrees with the …

We graph inequalities like we graph equations but with an extra step of shading one side of the line. This article goes over examples and gives you a chance to practice.