Use a compound inequality to find the range of values for the width of the garden. 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. 32 per hcf for Conservation Usage. How to solve a compound inequality with "or". Solving compound inequalities pdf. 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. Graph the numbers that.
Now that we know how to solve linear inequalities, the next step is to look at compound inequalities. What steps will you take to improve? Penelope is playing a number game with her sister June. The bill for Conservation Usage would be between or equal to? The systolic blood pressure measures the pressure of the blood on the arteries as the heart beats. Gregory is thinking of a number and he wants his sister Lauren to guess the number. The final graph will show all the numbers that make both inequalities true—the numbers shaded on both of the first two graphs. This is how we will show our solution in the next examples. Solving compound inequalities answer key. For example, the following are compound inequalities. How many hcf can the owner use if she wants her usage to stay in the conservation range? Ⓐ Let x be your BMI. Let's start with the compound inequalities with "and. " We can then graph the solution immediately as we did above.
The length of the garden is 12 feet. Access this online resource for additional instruction and practice with solving compound inequalities. Sometimes we have a compound inequality that can be written more concisely. Graph each solution. There are no numbers that make both inequalities true. The diastolic blood pressure measures the pressure while the heart is resting. How to solve compound inequalities with and. 54 per hcf for Normal Usage. Translate to an inequality. Solve Compound Inequalities with "and". We will use the same problem solving strategy that we used to solve linear equation and inequality applications. Make both inequalities. Before you get started, take this readiness quiz.
In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation. 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. To solve a compound inequality with the word "or, " we look for all numbers that make either inequality true. 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. For example, and can be written simply as and then we call it a double inequality.
Therefore, it is be shaded on the solution graph. We solve compound inequalities using the same techniques we used to solve linear inequalities. We then look for where the graphs "overlap". There are different rates for Conservation Usage, Normal Usage and Excessive Usage. Research and then write the compound inequality to show the BMI range for you to be considered normal weight. In interval notation. Ⓑ Research a BMI calculator and determine your BMI. Solving Linear Equations. The numbers that are shaded on both graphs, will be shaded on the graph of the solution of the compound inequality. Consider how the intersection of two streets—the part where the streets overlap—belongs to both streets. Last, we will solve the compound inequality.
Explain the steps for solving the compound inequality or. Write a compound inequality that shows the range of numbers that Gregory might be thinking of. Divide each part by three. Situations in the real world also involve compound inequalities. Ⓑ What does this checklist tell you about your mastery of this section?
Compound inequality. The homeowner can use 16–40 hcf and still fall within the "normal usage" billing range. We can see that the numbers between and are shaded on both of the first two graphs. Answer the question. All the numbers that make both inequalities true are the solution to the compound inequality. Let the number of hcf he can use. Just as the United States is the union of all of the 50 states, the solution will be the union of all the numbers that make either inequality true. Solve the inequality. How many hcf will he be allowed to use if he wants his usage to stay in the normal range? Ⓐ answers vary ⓑ answers vary. Body Mass Index (BMI) is a measure of body fat is determined using your height and weight. Write the solution in interval notation. Make either inequality.
Due to the drought in California, many communities now have tiered water rates. 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|. 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.