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The width ( w ) of a swimming pool must be 10 feet, but the length ( l ) can change. What happens to the perimeter of the pool as the length changes? A.As l increases by 1 ft, P increases by 1 ft. B. As l decreases by 1 ft, P increases by 1 ft. C. As l increases by 1 ft, P increases by 2 ft. D. As l decreases by 1 ft, P increases by 2 ft. Wednesday:
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October 14 - 18 Daily Word Problems
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2. Using Rates in Equations During the summer, Howard makes $8.50 per hour working for his uncle’s construction business. Write an equation that could be used to find the number of hours, x, that Howard must work to earn $510.
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ON TARGET SOLVING LINEAR INEQUALITIES Review
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GUIDED PRACTICE Graph the inequality. 1. x > – 5 The solutions are all real numbers greater than 5. An open dot is used in the graph to indicate – 5 is not a solution.
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GUIDED PRACTICE Graph the inequality. 2. x ≤ 3 The solutions are all real numbers less than or equal to 3. A closed dot is used in the graph to indicate 2 is a solution.
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EXAMPLE 2 Solve an inequality with a variable on both sides 3. Solve 5x + 2 > 7x – 4. Then graph the solution. 5x + 2 > 7x – 4 – 2x + 2 > – 4 – 2x > – 6 x < 3 Write original inequality. Subtract 7x from each side. Subtract 2 from each side. Divide each side by – 2 and reverse the inequality. ANSWER The solutions are all real numbers less than 3. The graph is shown below. GUIDED PRACTICE
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Extra Examples Solve the inequality. Then graph the solution. 4. 5x – 7 ≤ 6x 5. 3 – x > x – 9 5x – 7 ≤ 6x Write original inequality. x > – 7 Subtract 5x from each side. 3 – x > x – 9 Write original inequality. 3 – 2x > – 9 – 2x > – 12 x < 6 Subtract x from each side. Subtract 3 from each side. Divide each side by – 2 and reverse.
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Overview of Handout Inequalities
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Highlighter Recommendations Page 138 – Negative Number Rule Page 140 – Variable on the Right Page 142 – Open circle vs. Closed Circle
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Example 3 page 143 Which solutions of the following inequalities are represented by the graph? Must solve each inequality to answer question.
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For an accuracy grade Page 144 Practice 1 #1-2 Page 144 Practice 2 #1-5 Show all work.
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