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IM 7.6.15 Lesson: Efficiently Solving Inequalities

Autore:GeoGebra Classroom Activities, IM 6 – 8 Math

Here is an inequality: -x ≥ -4. Predict what you think the solutions on the number line will look like.

Select all the values that are solutions to :

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Graph the solutions to the inequality in the previous question on the number line: -x ≥ -4

Let's investigate the inequality x - 3 > -2. Complete the table.

For which values of  is it true that ?

For which values of  is it true that ?

Graph the solutions to x - 3 > -2 on the number line:

Here is an inequality: . Predict which values of  will make the inequality  true.

Using the inequality: 2x < 6, complete the table.

Does the table match your prediction?

Graph the solutions to 2x < 6 on the number line:

Here is an inequality: . Predict which values of  will make the inequality  true.

Using the inequality: -2x < 6, complete the table.

Does the table match your prediction?

Graph the solutions to -2x < 6 on the number line:

How are the solutions to  different from the solutions to ?

Let's investigate: Solve .

Is  true when  is 0? What about when  is 7? What about when  is -7?

Graph the solutions to -4x+5 ≥ 25 on the number line.

Let's investigate  . Solve .

Is true when  is 0?

Graph the solutions to the inequality on the number line.

Solve the inequality shown and graph the solutions on the number line.

Solve the inequality shown and graph the solutions on the number line.

Write at least three different inequalities whose solution is . Find one with  on the left side that uses a .

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