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Inequalities

Inequalities. We are learning to …solve and represent inequalities on a number line. Thursday, June 5, 2014. Warm Up. Solve the Create a drawing with Algebra Tiles Record your steps carefully Check your equation by using substitution

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Inequalities

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  1. Inequalities We are learning to…solve and represent inequalities on a number line. Thursday, June 5, 2014

  2. Warm Up • Solve the • Create a drawing with Algebra Tiles • Record your steps carefully • Check your equation by using substitution • Raise your hand when you are done so that your teacher can check the solution.

  3. Human Number Line Activity • By looking at the results of our “Human Number Line” determine some possible solutions to the following inequalities… • We need 11 volunteers!

  4. Reflection • With your team evaluate the difference between “equations” and “inequalities.” Write some your ideas in the space provided.

  5. Vocabulary • Inequality - A mathematical sentence stating that one quantity is greater than or less than an other. Symbols Used:

  6. Critical Thinking • Could you ever name all of the possible solutions for the inequality ? Why or why not?

  7. Demonstrate where to find the solutions to the inequality on the number line below: Name some values for x which would make this inequality true: Number Line: • 5 is not a solution…all of the solutions are greater than 5 but not equal to 5? • Since you cannot list all of the solutions to an inequality using a number line is way to visually see all of the solution to an inequality.

  8. Demonstrate where to find the solutions to the inequality on the number line below: Name some values for x which would make this inequality true: Number Line: • -4 is a solution and should be included in the picture of the numbers in the solutions to the inequality.

  9. Team Practice • With your team: • Think of 5 possible solutions for the given inequalities. • Evaluate if the boundary point is part of the solution or not a part of the solution. • If the point is part of the solution use a closed (filled in) circle. • If the point is not part of the solution use an open (not filled in) circle. • Finally demonstrate where to find all of the solutions on the number line by drawing a bold line with an arrow.

  10. Compound Inequalities • Compound Inequalities – Two or more inequalities put together. Name some possible solutions to this inequality: We know that: and Try graphing some compound inequalities on number lines with your team!

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