4-2: Solving Inequalities Using Addition and Subtraction Essential Questions: How are solving inequalities with addition and subtraction different from solving equations with addition and subtractions

4-2: Inequalities Using + & - You can add the same value to each side of an inequality, just like you did with equations. Example 1: Solve x – 3 < 5. Graph the solution. ◦ x – 3 < 5 ◦ add 3 to each side ◦ x < 8

4-2: Inequalities Using + & - Your Turn ◦S◦S olve m – 6 > -4. Graph your solution. mm > 2

You can subtract the same value to each side of an inequality, just like you did with equations. Example 3: Solve y + 5 < -7. Graph the solution. ◦ y + 5 < -7 ◦ subtract 5 from each side ◦ y < -12

4-2: Inequalities Using + & - Your Turn ◦S◦S olve t + 3 > 8. Graph your solution. tt > 5

You can use inequalities to model real-world solutions. ◦ Example 5: The maximum safe load of a chairlift is 680 lb. In the spring, a cyclist and bicycle go to the top of the slope using the chairlift. The weight of the person is 124 lb, and the weight of the bicycle is 32 lb. How much additional weight could the chairlift safely carry?  Let w = the additional weight  All the weight must weigh less than or equal to 680 lb.  w < 680combine like terms  w < 680subtract 156 both sides  w < 524

4-2: Inequalities Using + & - Your Turn ◦Y◦Y our baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65 blankets on Wednesday. Write an inequality to describe how many blankets the team must donate on Friday to make or exceed their goal. ◦T◦T hen, solve the inequality 4 b > 160 bb > 53

Assignment ◦ Worksheet 4-2 ◦ 1 – 41, odds