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Extra resources for Algebra 2, Student Edition
6 3 1 - 4p 42. 2 5 n 1 44. 12 _ -_ ≤ -6n (4 3 ) Lesson 1-5 Solving Inequalities 37 CAR SALES For Exercises 45 and 46, use the following information. Mrs. 5% commission on her sales. If the average price of a car she sells is $30,500, about how many cars must she sell to make an annual income of at least $50,000? 45. Write an inequality to describe this situation. 46. Solve the inequality and interpret the solution. Define a variable and write an inequality for each problem. Then solve. 47. Twice the sum of a number and 5 is no more than 3 times that same number increased by 11.
25 per hour. Use the Distributive Property to write two equivalent expressions that represent how much money Jenny earned. $OLLARS "ILLIONS Name the sets of numbers to which each number belongs. (Lesson 1-2) − 66. 31 67. 2 68. √7 9EAR (Lesson 1-2) PREREQUISITE SKILL Solve each equation. Check your solutions. (Lesson 1-4) 70. x = 7 71. x + 5 = 18 72. 5y - 8 = 12 73. 14 = 2x - 36 74. 10 = 2w + 6 75. x + 4 + 3 = 17 Lesson 1-5 Solving Inequalities 39 Interval Notation The solution set of an inequality can be described by using interval notation.
Lesson 1-5 Solving Inequalities 33 EXAMPLE Solve an Inequality Using Addition or Subtraction Solve 7x - 5 > 6x + 4. Graph the solution set on a number line. 7x - 5 > 6x + 4 Original inequality 7x - 5 + (-6x) > 6x + 4 + (-6x) Add -6x to each side. x-5>4 Simplify. x-5+5>4+5 Add 5 to each side. x>9 Simplify. Any real number greater than 9 is a solution of this inequality. The graph of the solution set is shown at the right. A circle means that this point is not included in the solution set. 6 7 8 9 10 11 12 13 14 CHECK Substitute a number greater than 9 for x in 7x - 5 > 6x + 4.