5-4 Practice Solving Compound Inequalities

54 per hcf for Normal Usage. Before you get started, take this readiness quiz. Access this online resource for additional instruction and practice with solving compound inequalities. We will use the same problem solving strategy that we used to solve linear equation and inequality applications. Ⓐ Let x be your BMI.

Solving Compound Inequalities Answer Key

All the numbers that make both inequalities true are the solution to the compound inequality. For the compound inequality and we graph each inequality. The systolic blood pressure measures the pressure of the blood on the arteries as the heart beats. For example, the following are compound inequalities. Next, restate the problem in one sentence to make it easy to translate into a compound inequality.

5-4 Practice Solving Compound Inequalities Answers

Solve Applications with Compound Inequalities. His first clue is that six less than twice his number is between four and forty-two. How many hcf will he be allowed to use if he wants his usage to stay in the normal range? Use a compound inequality to find the range of values for the width of the garden. We solve compound inequalities using the same techniques we used to solve linear inequalities. Recall the problem solving strategies are to first read the problem and make sure all the words are understood. Let the number of hcf he can use.

Rules For Solving Compound Inequalities

Compound inequality. Body Mass Index (BMI) is a measure of body fat is determined using your height and weight. The two forms are equivalent. To solve a compound inequality with "or", we start out just as we did with the compound inequalities with "and"—we solve the two inequalities. There are no numbers that make both inequalities true. To find the solution of the compound inequality, we look at the graphs of each inequality, find the numbers that belong to either graph and put all those numbers together. Penelope is thinking of a number and wants June to guess it. We can see that the numbers between and are shaded on both of the first two graphs.

Solving For Compound Inequalities

Research and then write the compound inequality to show the BMI range for you to be considered normal weight. The numbers that are shaded on both graphs, will be shaded on the graph of the solution of the compound inequality. In the following exercises, solve. The number is not shaded on the first graph and so since it is not shaded on both graphs, it is not included on the solution graph.

How To Solve Compound Inequalities Steps

Penelope is playing a number game with her sister June. Graph the solution and write the solution in interval notation: or. The final graph will show all the numbers that make both inequalities true—the numbers shaded on both of the first two graphs. The usage is measured in the number of hundred cubic feet (hcf) the property owner uses. Therefore, it is be shaded on the solution graph.

We then look for where the graphs "overlap". The solution covers all real numbers. Learning Objectives. Ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. For example, and can be written simply as and then we call it a double inequality. We can then graph the solution immediately as we did above. During the winter, a property owner will pay? To solve a double inequality we perform the same operation on all three "parts" of the double inequality with the goal of isolating the variable in the center. Ⓐ answers vary ⓑ answers vary. Then graph the numbers that make either inequality true. Add 7 to all three parts. There are different rates for Conservation Usage, Normal Usage and Excessive Usage. To solve a compound inequality with the word "or, " we look for all numbers that make either inequality true.

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