Inequalities

Our students have been working with inequalities since elementary school.  Their first introduction to inequalities involved using symbols to compare the values of numbers.

Through this comparison, students begin to develop their number sense.

As we progress further into the world of algebra, we begin to compare the values of algebraic expressions and numeric quantities.  Inequalities now contain variables, and can be solved, using the same methods we use to solve equations.

Once we have solved the inequality, we have a solution set, or a set of numbers that will make the inequality true.  In order to visually represent the solution set, we use a number line.

Watch this video that helps explain the process of graphing an inequality.

Of course, there is always a twist!  Students have learned, through trial and error, that inequalities remain true no matter what quantity is added or subtracted to both sides of the inequality symbol.  However, when each side is multiplied or divided by a negative number, the direction of the inequality sign reverses.

Watch this video for a more detailed explanation of dividing and multiplying inequalities by a negative.

Don’t worry, we included some practice problems for you!  Good luck!