We are learning to…solve and represent inequalities on a number line.

Thursday, April 20, 2023

Warm UpSolve the

Create a drawing with Algebra TilesRecord your steps carefullyCheck your equation by using substitutionRaise your hand when you are done so that

your teacher can check the solution.

3 5 17x

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

ReflectionWith your team evaluate the difference between “equations” and “inequalities.” Write some your ideas in the space provided.

VocabularyInequality - A mathematical sentence stating that one quantity is greater than or less than an other.Symbols Used:

Critical ThinkingCould you ever name all of the possible solutions for the inequality ? Why or why not?

Demonstrate where to find the solutions to the inequality on the number line below:

5x

Name some values for x which would make this inequality true:

Number Line:

Why is there an open circle on 5? Why might it be helpful to plot the inequality on a 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.

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:

Why is there a closed circle on -4?

•-4 is a solution and should be included in the picture of the numbers in the solutions to the inequality.

4x

Team PracticeWith your team:

1. Think of 5 possible solutions for the given inequalities.

2. 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.

3. Finally demonstrate where to find all of the solutions on the number line by drawing a bold line with an arrow.

Compound InequalitiesCompound Inequalities – Two or more inequalities put

together.

Name some possible solutions to this inequality:

We know that: and

3 7x

3x 7x

Try graphing some compound inequalities on number lines with your team!