4 Agenda5 minute checkGet back the reading to learn math worksheet, place in notes sectionMs Swartz checks that you did the homeworkYou check your homeworkLessonhomework
5 Remember 2 warnings now = note home. NEW TIMER GOAL: 15 seconds or under (INEQUALITY, YAY) means 1 bonus point added to the quiz. 10 seconds or under means 2 bonus points added to the quiz. 5 seconds or under means 3 bonus points added to the quiz. If you get any warnings or a note home you don’t get bonus points.
6 To solve inequalities using addition and subtraction Its just like solving equations with addition and subtractionYou want to get the variable by itselfWhat you do to one side of the inequality, you do to the other sideThe inequality sign stays the sameThe only thing that is different is checking the inequality.
7 Example 1 Solve an Inequality Using Addition Example 2 Solve an Inequality Using SubtractionExample 3 Graph the Solutions of an InequalityExample 4 Use an Inequality to Solve a ProblemLesson 6 Contents
8 Replace n with a number greater than 10, such as 11. Check your solution.SolveWrite the inequality.Add 4 to each side.Simplify.CheckWrite the inequality.Replace n with a number greater than 10, such as 11.The statement is true.Answer: Any number greater than 10 will make the statement true, so the solution isExample 6-1a
10 Subtract 8 from each side. SolveCheck your solution.Write the inequality.Subtract 8 from each side.Simplify.Check Replace x in the original inequality with –15 and then with a number less than –15.Answer: The solution isExample 6-2a
12 Then graph the solution on a number line. Solve The solution is Graph the solution.Example 6-3a
13 Place an open circle at Draw a line and an arrow to the left. Answer:Example 6-3a
14 Solve Then graph the solution on a number line. Answer:Example 6-3b
15 TOWING COMPANY A pickup truck is towing a trailer that weighs 3,525 pounds. The maximum towing capacity of the truck is 4,700 pounds. Determine how much more weight can be added to the trailer and still be towed by the truck.Example 6-4a
16 must be less than or equal to WordsThe phrase maximum capacity means less than or equal to. So, the current weight being towed plus any more weight must be less than or equal to 4,700 pounds.Variablecurrent weightplusweight addedmust be less than or equal to4,700 poundsInequality3,525+w4,700Example 6-4a
17 Subtract 3,525 from each side. Write the inequality.Subtract 3,525 from each side.Simplify.Answer: Up to 1,175 more pounds can be added to the trailer.Example 6-4a
18 Answer: Up to 120 more pounds can be added. SPORTS A weightlifter can lift up to 375 pounds. He is currently lifting 255 pounds. Determine how much more weight can be added and still be lifted by the weightlifter.Answer: Up to 120 more pounds can be added.Example 6-4b