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Lesson Menu Main Idea Key Concept:Properties of Inequality Example 1:Solve Inequalities Example 2:Solve Inequalities Key Concept:Properties of Inequality

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  • Lesson MenuMain Idea Key Concept:Properties of InequalityExample 1:Solve InequalitiesExample 2:Solve InequalitiesKey Concept:Properties of InequalityExample 3:Multiply by a Negative NumberExample 4:Divide by a Negative NumberExample 5:Real-World Example

  • Main Idea/VocabularySolve and graph one-step inequalities by using the Multiplication or Division Properties of Inequality.

  • Key Concept

  • Example 1Solve InequalitiesSolve 6x < 30. Graph the solution set on a number line.6x 60. Graph the solution set on a number line.Multiply or Divide by a Negative NumberAnswer:

  • Example 4 CYPSolve 8n 72. Graph the solution set on a number line.

  • Example 5BOOKS Jesse is filling a box with books that weigh 2 pounds each. The box can hold at most 15 pounds of books. Assuming that space is not an issue, write and solve an inequality to find how many books Jesse can put in the box.The phrase at most means less than or equal to. Let p = the number of books in the box.

  • Example 5Answer:The solution is p 7.5. He can put at most 7 books in the box.

  • Example 5 CYPA.5x 13; at most 2.6 poundsB.5x 13; at least 2.6 poundsC.13x 5; at most about 0.4 poundD.13x 5; at least about 0.4 poundMONEY Victor has $13 to buy trail mix for a hiking trip. A pound of trail mix costs $5. Write and solve an inequality to find how many pounds of trail mix Victor can buy.

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