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Learning Objectives. Research and then write the compound inequality to show the BMI range for you to be considered normal weight. A double inequality is a compound inequality such as. How to solve a compound inequality with "or". Penelope is thinking of a number and wants June to guess it. Practice Makes Perfect. Graph each solution. 54 per hcf for Normal Usage.

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It is equivalent to and. Ⓑ What does this checklist tell you about your mastery of this section? Make both inequalities. By the end of this section, you will be able to: - Solve compound inequalities with "and". Now that we know how to solve linear inequalities, the next step is to look at compound inequalities. Solve the inequality. 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. Name what we are looking for. All the numbers that make both inequalities true are the solution to the compound inequality. Divide each part by three. Elouise is creating a rectangular garden in her back yard. His first clue is that six less than twice his number is between four and forty-two. To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement. 5-4 practice solving compound inequalities answer key. What steps will you take to improve?

For example, and can be written simply as and then we call it a double inequality. The perimeter of the garden must be at least 36 feet and no more than 48 feet. For example, the following are compound inequalities. Next, restate the problem in one sentence to make it easy to translate into a compound inequality.

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. Gregory is thinking of a number and he wants his sister Lauren to guess the number. Ⓐ answers vary ⓑ answers vary. Add 7 to all three parts. How many hcf will he be allowed to use if he wants his usage to stay in the normal range?

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The systolic blood pressure measures the pressure of the blood on the arteries as the heart beats. Graph the solution and write the solution in interval notation: or. Solving Linear Equations. How to solve compound inequalities steps. The final graph will show all the numbers that make both inequalities true—the numbers shaded on both of the first two graphs. Penelope is playing a number game with her sister June. Five more than three times her number is between 2 and 32.

Write the solution in interval notation. Write a compound inequality that shows the range of numbers that Gregory might be thinking of. We then look for where the graphs "overlap". Our solution will be the numbers that are solutions to both inequalities known as the intersection of the two inequalities. Then, identify what we are looking for and assign a variable to represent it.

The solution covers all real numbers. The diastolic blood pressure measures the pressure while the heart is resting. This is a contradiction so there is no solution. 32 per hcf for Conservation Usage. 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.

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In the following exercises, solve. Ⓐ Let x be your BMI. 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. Recall the problem solving strategies are to first read the problem and make sure all the words are understood. Is it a solution to the inequality in part (a)? How to solve compound inequalities with and. In interval notation. The homeowner can use 16–40 hcf and still fall within the "normal usage" billing range. The usage is measured in the number of hundred cubic feet (hcf) the property owner uses. Then graph the numbers that make either inequality true.

The number two is shaded on both the first and second graphs. The two forms are equivalent. To solve a compound inequality with the word "or, " we look for all numbers that make either inequality true. Consider how the intersection of two streets—the part where the streets overlap—belongs to both streets. Body Mass Index (BMI) is a measure of body fat is determined using your height and weight. Use a compound inequality to find the range of values for the width of the garden. Solve Compound Inequalities with "and". A compound inequality is made up of two inequalities connected by the word "and" or the word "or. Explain the steps for solving the compound inequality or.

Research and then write the compound inequality that shows you what a normal diastolic blood pressure should be for someone your age. 54 times the number of hcf he uses or|. Due to the drought in California, many communities now have tiered water rates. For the compound inequality and we graph each inequality. Situations in the real world also involve compound inequalities. Let the number of hcf he can use. Ⓑ Research a BMI calculator and determine your BMI. The bill for Conservation Usage would be between or equal to? We solve compound inequalities using the same techniques we used to solve linear inequalities. Graph the numbers that.
Ⓑ Let y be your diastolic blood pressure. We will use the same problem solving strategy that we used to solve linear equation and inequality applications. We solve each inequality separately and then consider the two solutions. Before you get started, take this readiness quiz. The length of the garden is 12 feet.
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