Understanding Inequalities and Graphing

This video tutorial covers writing and graphing inequalities. It explains how to use inequality symbols to represent real-world situations, such as age and height restrictions. The tutorial also demonstrates how to graph inequalities on a number line, using open and closed circles to indicate whether a number is included in the solution set. Several examples and practice problems are provided to reinforce the concepts.

What symbols are used to represent inequalities?

• Equal to and not equal to

• Less than and greater than

• Addition and subtraction

• Multiplication and division

If you must be over 12 years old to ride go-karts, which inequality represents this?

• X ≥ 12

• X > 12

• X ≤ 12

• X < 12

A pony is less than 14.2 hands tall. Which inequality represents this?

• X > 14.2

• X ≤ 14.2

• X < 14.2

• X ≥ 14.2

What does an open circle on a number line indicate?

• The number is not included

• The inequality is true

• The number is included

• The inequality is false

Which step is NOT part of graphing an inequality?

• Place the circle on the number line

• Multiply the inequality by a constant

• Plug in a number to test the inequality

• Draw a line in the direction of true values

If traffic can travel at speeds of no more than 25 mph, which inequality represents this?

• X > 25

• X ≤ 25

• X ≥ 25

• X < 25