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7th Grade Math / Lesson 8: Solving Inequalities

INEQUALITIES
What will we be learning in this lesson?


  • In this lesson, you will learn how to use inverse operations to solve inequalities.
Vocabulary words are found in this purple color throughout the lesson. Remember to put these in your notebook.


Inequalities


  • The solutions to an inequality are the numbers that you can put in for the variables that actually work in the problem.

  • We have used the "Guess and Check" method to find a solution.

  • Now we will look at using inverse operations to solve inequalities.


Inequalities


  • Remember the inverse operations from section 2?

    The inverse of adding is subtracting.

    The inverse of subtracting is adding.

    The inverse of multiplying is dividing.

    The inverse of dividing is multiplying.

  • In this section, we will use the inverse operations of adding and subtracting.


Inequalities


  • Use the inverse operation to solve the inequality. Graph the solution.

    1. x + 5 < 16


Inequalities


  • Use the inverse operation to solve the inequality. Graph the solution.

    1. x + 5 < 16    Remember, to solve, you need to get the variable by itself.

  • There is addition in the problem, so to solve, we need the inverse operation. This would be subtraction.


Inequalities


  • Use the inverse operation to solve the inequality. Graph the solution.

    2.   x - 14 > 12


Inequalities


  • Use the inverse operation to solve the inequality. Graph the solution.

    2.   x - 14 > 12       Remember, to solve, you need to get the variable by itself.

  • There is subtraction in the problem, so to solve, we need the inverse operation. This would be addition.


  • Can you find solutions to an inequality?

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