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By the end of this section, you will be able to: - Solve compound inequalities with "and". Research and then write the compound inequality that shows you what a normal diastolic blood pressure should be for someone your age. Last, we will solve the compound inequality. 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. 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.
How to solve a compound inequality with "or". Recall the problem solving strategies are to first read the problem and make sure all the words are understood. The bill for Conservation Usage would be between or equal to? To solve a compound inequality with the word "or, " we look for all numbers that make either inequality true. Name what we are looking for. 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. A compound inequality is made up of two inequalities connected by the word "and" or the word "or.
Therefore, it is be shaded on the solution graph. Ⓐ Let x be your BMI. Consider how the intersection of two streets—the part where the streets overlap—belongs to both streets. Penelope is thinking of a number and wants June to guess it. It is equivalent to and. 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. Ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement. In interval notation. Graph the solution and write the solution in interval notation: Solve Compound Inequalities with "or". We can see that the numbers between and are shaded on both of the first two graphs. Ⓐ answers vary ⓑ answers vary. For example, the following are compound inequalities. Due to the drought in California, many communities now have tiered water rates. A double inequality is a compound inequality such as. 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. Make both inequalities.
Next, restate the problem in one sentence to make it easy to translate into a compound inequality. Body Mass Index (BMI) is a measure of body fat is determined using your height and weight. Solve Compound Inequalities with "and". Write a compound inequality that shows the range of numbers that Gregory might be thinking of. Practice Makes Perfect. The solution covers all real numbers. 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. The two forms are equivalent. Ⓑ What does this checklist tell you about your mastery of this section? In the following exercises, solve each inequality, graph the solution on the number line, and write the solution in interval notation.