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7th Grade Math / Lesson 6: Inequalities II

INEQUALITIES
What will we be learning in this lesson?


  • In this lesson, you will learn more about inequalities and their graphs.
Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.


Inequalities


  • The solution of an inequality is similar to the solution of an equation. It is the number that you put into an equation that actually works.

  • The process of checking a solution for an inequality is just the same as checking for an equation.

    Examples : Check the number to see if it is a solution


Inequalities


  • Check the number to see if it is a solution to the inequality.


Inequalities


  • Check the number to see if it is a solution to the inequality.


Inequalities


  • Graphing an inequality on a number line is a way to display the solutions of an inequality. Remember, a number line is a line which has the numbers in order from lowest to highest.

  • Here is what a graph on a number line would look like:

    x < 5

    This inequality says that "x is less than 5" so on a graph, we need to show where the numbers are that are less than 5.

    Notice the open circle on 5. This is because we are not able to include the number 5. This only lets us use numbers that are less than 5.


Inequalities


  • Try to graph the following inequality:



    Notice the closed circle on 12. This is because we are able to use 12 this time. With the inequality symbol "greater than or equal to", the "or equal to" part tells us to include the number - which means filling in the circle on the number line.


  • Can you identify a solution to an inequality?

  • Can you graph an inequality on a number line?

  • Go back to the classroom to get to your homework and any other items you need to attend to.