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# Chapter 2 Section 6 PowerPoint PPT Presentation

Chapter 2 Section 6. Inequalities. Assignment 11. Work the review Parts 1 and 2 for the Opportunity, PDF version in Resources.  Work Section 2.6: P. 147: 6, 7, 9, 12, 15, 20, 22, 23, 26, 27, 40, 41, 45-48, 66-68, 75- 80. Activity #4, Cash Register Receipt.

Chapter 2 Section 6

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## Chapter 2 Section 6

Inequalities

### Assignment 11

• Work the review Parts 1 and 2 for the Opportunity, PDF version in Resources.  Work Section 2.6: P. 147: 6, 7, 9, 12, 15, 20, 22, 23, 26, 27, 40, 41, 45-48, 66-68, 75-80

### Activity #4, Cash Register Receipt

• Do not show the receipt to your partner.

• Tell them what the total was and the tax rate. Ask them to tell you the pretax total (the subtotal).

• Once they have given you the value, show them the receipt and see if it matches. If not, call me over and let’s see where the confusion lies.

### Solutions to Inequalities

• Determine if the following are solutions to the given inequality

### Ordering Numbers

• a > b if a lies to the right of b on the number line.

• a < b if a lies to the left of b on the number line.

### Some Notation

• Two ways to describe solution sets to inequalities are set-buildernotation and interval notation.

### Set-Builder

• Example (a) is read “x such that x is an element of the real numbers

• Example (b) is read “y such that y is greater than 3”

### Set-Builder

• In general you read it as “ the set of values such that they meet the specified condition”

### Solutions to Inequalities

• Write the solution to the given inequalities as a number line graph.

### Let a,b, and c be any numbers.

• Addition Property of Inequality

• if a > b, then a + c > b + c

• Subtraction Property of Equality if a > b, then a - c > b - c

### Let a,b, and c be any numbers, where c is positive.

• Multiplication Property of Inequalityif a > b, then a(c) > b(c)

• Division Property of Equalityif a > b, then a / c > b / c

### Let a,b, and c be any numbers, where c is negative.

• Multiplication Property of Inequalityif a > b, then a(c) < b(c)

• Division Property of Equalityif a > b, then a / c < b / c

### Solving Inequalities

• To solve an inequality, do the following:

• Simplify each side of the inequality.

• Isolate the variable by addition or subtraction.

• Solve the inequality by multiplication or division.

• Use a graph, interval motation or set builder notation to describe the solution.