It allows the student to practice setting up both an inequality that uses and, and an inequality that uses or. The words and and or are used to describe how the two parts are related. Solve compound inequalities mathematics libretexts. Practice 48 example exercises example 1 solve each inequality and graph the solution on a number line. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios. Review of basic inequalities problem 4 writing an inequality from a graph vvhat inequality represents the graph.
For example, the following are compound inequalities. The inequalities you have seen so far are simple inequalities. Several inequalities can be combined together to form what are called compound inequalities. Ninth grade lesson compound inequalities betterlesson. After students have had time to consider a method of solution, they should talk to their partner to develop a plan together. Compound inequalities a compound inequality is a sentence with two inequality statements joined either by the word or or by the word and. Solve compound inequalities with and now that we know how to solve linear inequalities, the next step is to look at compound inequalities. Compound inequalities 2 linear inequalities algebra i. Ssolving compound inequalitiesolving compound inequalities. To be a solution of an or inequality, a value has to make only one part of the inequality true. Multiple choice 80 points, 5 points each identify the choice that best completes the statement or answers the question. Answers for algebra i, practice book lesson 35, page 74. Luke lives 3 miles from the field and logan lives 2 miles from the field. Write down all the integers that satisfy both inequalities shown in part a and b.
Compound inequalities algebra practice khan academy. The real world example using velocity, allows the students to see a case in. A compound inequality includes two inequalities in one statement. There are three types of compound inequalities which we will investigate in this lesson. Graphing compound inequalities math worksheets 4 kids. To solve a compound inequality, you must solve each part separately. This pdf contains several of the worksheets from the practice packet. Write a compound inequality to show the ph levels of this shampoo. A compound inequality is made up of two inequalities connected by the word and or the word or. Solve each compound inequality and graph its solution. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b. Learn introduction to compound inequalities with free interactive flashcards. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e. Compound inequality the result of combining two inequalities.
The number line is shaded to the right of 1, so all numbers greater than i are solutions. To be a solution of an and inequality, it must make both parts true. Inequalities problem 1 of 6 graphs of inequalities adding in inequalities subtracting in inequalities multiplying in inequalities. Find compound inequalities course notes, answered questions, and compound inequalities tutors 247. Course hero has thousands of compound inequalities study resources to help you. A certain recipe calls for a cake to bake between 25 minutes and 30 minutes, inclusive. If you continue browsing the site, you agree to the use of cookies on this website. Write the word or phrase that best completes each statement or answers the question. Learn compound inequalities with free interactive flashcards. Unions when an inequality is combined by the word or the compound inequality is formed. Solve, graph and give interval notation to the solution of compound inequalities. Compound inequalities in context ex11 luke and logan play on the same baseball team.
In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. Choose from 500 different sets of introduction to compound inequalities flashcards on quizlet. Compound inequalities a compound inequality or combined inequality is two or more inequalities joined together with or or and. I use this exit slip as a formative assessment to check for student understanding. And indicates that both statements of the compound sentence are true at the same time. This union is worked out as two separate inequalities and then graphed on a common number line. When students share out their responses, focus on one. A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. Choose from 500 different sets of compound inequalities flashcards on quizlet. Practice b solving compound inequalities write the compound inequality shown by each graph. When two simple inequalities are combined into one statement by the words and or or, the result is called a compound inequality. Set notation, compound inequalities, and systems of inequalities 8.
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