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Chapter 2 Section 6

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Chapter 2 Section 6

Inequalities

- 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

- 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.

- Determine if the following are solutions to the given inequality

- 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.

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

- 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”

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

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

- Addition Property of Inequality
- if a > b, then a + c > b + c
- Subtraction Property of Equality if a > b, then a - c > b - c

- Multiplication Property of Inequalityif a > b, then a(c) > b(c)
- Division Property of Equalityif a > b, then a / c > b / c

- Multiplication Property of Inequalityif a > b, then a(c) < b(c)
- Division Property of Equalityif a > b, then a / c < b / c

- 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.