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Research and then write the compound inequality to show the BMI range for you to be considered normal weight. Solving compound inequalities answer key. Ⓑ What does this checklist tell you about your mastery of this section? 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. 54 per hcf for Normal Usage. Access this online resource for additional instruction and practice with solving compound inequalities.

Solving Compound Inequalities Answer Key

Write a compound inequality that shows the range of numbers that Gregory might be thinking of. Solve Compound Inequalities with "and". 5-4 practice solving compound inequalities answer key. A double inequality is a compound inequality such as. Solving Linear Equations. 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. Name what we are looking for.

Use a compound inequality to find the range of values for the width of the garden. 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. The number of hcf he can use and stay in the "normal usage" billing range. Therefore, it is be shaded on the solution graph. This graph shows the solution to the compound inequality. Before you get started, take this readiness quiz. Blood Pressure A person's blood pressure is measured with two numbers. Translate to an inequality. Compound inequalities pdf worksheet. We will use the same problem solving strategy that we used to solve linear equation and inequality applications. This is how we will show our solution in the next examples. By the end of this section, you will be able to: - Solve compound inequalities with "and". Make both inequalities. Now that we know how to solve linear inequalities, the next step is to look at compound inequalities.

Compound Inequalities Pdf Worksheet

The two forms are equivalent. There are no numbers that make both inequalities true. The systolic blood pressure measures the pressure of the blood on the arteries as the heart beats. His first clue is that six less than twice his number is between four and forty-two. This is a contradiction so there is no solution.

For the compound inequality and we graph each inequality. Compound inequality. The diastolic blood pressure measures the pressure while the heart is resting. All the numbers that make both inequalities true are the solution to the compound inequality. 32 per hcf for Conservation Usage. The homeowner can use 16–40 hcf and still fall within the "normal usage" billing range. Body Mass Index (BMI) is a measure of body fat is determined using your height and weight. When written as a double inequality, it is easy to see that the solutions are the numbers caught between one and five, including one, but not five.

5-4 Practice Solving Compound Inequalities Answer Key

Ⓑ Research a BMI calculator and determine your BMI. Consider how the intersection of two streets—the part where the streets overlap—belongs to both streets. Sometimes we have a compound inequality that can be written more concisely. Solve the inequality. The bill for Conservation Usage would be between or equal to? Learning Objectives. Divide each part by three.

Explain the steps for solving the compound inequality or. Then graph the numbers that make either inequality true. Penelope is playing a number game with her sister June. The final graph will show all the numbers that make both inequalities true—the numbers shaded on both of the first two graphs. Elouise is creating a rectangular garden in her back yard. Recall the problem solving strategies are to first read the problem and make sure all the words are understood.

To solve a compound inequality with the word "or, " we look for all numbers that make either inequality true. In interval notation. The number two is shaded on both the first and second graphs. Another way to graph the solution of is to graph both the solution of and the solution of We would then find the numbers that make both inequalities true as we did in previous examples. To write the solution in interval notation, we will often use the union symbol,, to show the union of the solutions shown in the graphs. Add 7 to all three parts.

We then look for where the graphs "overlap". Is it a solution to the inequality in part (a)? Graph the numbers that. Ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section. We solve each inequality separately and then consider the two solutions. Five more than three times her number is between 2 and 32. The perimeter of the garden must be at least 36 feet and no more than 48 feet. How many hcf can the owner use if she wants her usage to stay in the conservation range? Graph the solution and write the solution in interval notation: or. To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement.

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