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:

October Daily Word Problems

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.

ON TARGET SOLVING LINEAR INEQUALITIES Review

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.

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.

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

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.

Overview of Handout Inequalities

Highlighter Recommendations Page 138 – Negative Number Rule Page 140 – Variable on the Right Page 142 – Open circle vs. Closed Circle

Example 3 page 143 Which solutions of the following inequalities are represented by the graph? Must solve each inequality to answer question.

For an accuracy grade Page 144 Practice 1 #1-2 Page 144 Practice 2 #1-5 Show all work.