1. Section 4.2 Solving Linear Inequalities Using the Multiplication-Division Principle

2. 4.2 Lecture Guide: Solving Linear Inequalities Using the Multiplication-Division Principle Objective 1: Solve linear inequalities using the multiplication-division principle for inequalities.

3. Verbally Order Preserving: If ____________ sides of an inequality are multiplied or ____________ by a positive number, the result is an inequality that has the same ____________ as the original inequality. Algebraically If a, b, and c, are real numbers then, then is __________to. Numerical Examples is equivalent to And to. Multiplication-Division Principle for Inequalities:

4. Verbally Order Reversing: If ____________ sides of an inequality are multiplied or divided by a negative number and the order of inequality is ____________, the result is an inequality that has the ____________ solution as the original inequality. Algebraically If a, b, and c, are real numbers then, then is equivalent to. Numerical Examples is equivalent to and to. Multiplication-Division Principle for Inequalities:

5. Use the multiplication-division principle of equality to solve each inequality. 2.1.

6. Use the multiplication-division principle of equality to solve each inequality. 4.3.

7. Use the multiplication-division principle of equality to solve each inequality. 6.5.

8. Use the multiplication-division principle of equality to solve each inequality. 7.

9. Use the multiplication-division principle of equality to solve each inequality. 8.

10. Use the multiplication-division principle of equality to solve each inequality. 9.

11. Use the multiplication-division principle of equality to solve each inequality. 10.

12. 5−911 6−69 7−37 805 933 1061 119−1 11. Use the table to solve each equation or inequality. (a) (b) (c)

13. 12. Use the graph to solve each equation or inequality. (a) (b) (c)

14. 13. A high school band is having a fund raiser to raise money for a trip. The cost of renting a snow-cone machine for the fundraiser includes a fixed cost of $84 plus a variable cost of $0.30 per snow-cone. Snow-cones can be sold for $1.50 each. (a) Write an equation for the cost of renting the machine and selling x snow-cones. (b) Write an equation for the revenue generated by selling x snow-cones.

15. 13. A high school band is having a fund raiser to raise money for a trip. The cost of renting a snow-cone machine for the fundraiser includes a fixed cost of $84 plus a variable cost of $0.30 per snow-cone. Snow-cones can be sold for $1.50 each. (c) Determine the values of x for which. (d) Interpret the meaning of the answer to part (c).