Solve compound inequalities with and now that we know how to solve linear inequalities, the next step is to look at compound inequalities. For this we use compound inequalities, inequalities with multiple inequality signs. A compound inequality is made up of two inequalities connected by the word and or the word or. Compound inequalities write a compound inequality that represents each phrase. This union is worked out as two separate inequalities and then graphed on a common number line. Each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. Solve compound inequalities mathematics libretexts.
In other words, both statements must be true at the same time. Ninth grade lesson compound inequalities betterlesson. First, they graph the solution set of each compound inequality. Solve and graph compound inequalities lesson plan with. In this nonlinear system, users are free to take whatever path through the material best serves their needs. The words and and or are used to describe how the two parts are related. The first example is about how much a restaurant charges based on age, and the second example is about the two different readings of blood pressure. The solutions to compound inequalities can be graphed on a number line, and can be expressed as intervals. Al students earning above a 90 or below a 65 were asked to report to room a. It allows the student to practice setting up both an inequality that uses and, and an inequality that uses or.
It is the overlap or intersection of the solution sets for the individual statements. This union is worked out as two separate inequalities and. Solving compound inequalities pleasantville high school. Ninth grade lesson solving compound inequalities betterlesson. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e. Situations in the real world also involve compound inequalities. Solve each compound inequality and graph its solution. This solving compound inequalities worksheet is suitable for 9th grade. How do you solve an and compound inequality and graph it. Ixl solve compound inequalities algebra 1 practice. Solve compound inequalities in the form of and and express the solution graphically. Inequalities can also be compound inequalities meaning there is more than one inequality listed.
As in solving equations, you may add or subtract the same amount from both sides of an inequality. The real world example using velocity, allows the students to see a case in. The inequalities you have seen so far are simple inequalities. Several inequalities can be combined together to form what are called compound inequalities. For example, the following are compound inequalities. The inequalities are x 3 or x 6287,21 the graphs do not intersect, so it represents a union. I use this exit slip as a formative assessment to check for student understanding. A certain recipe calls for a cake to bake between 25 minutes and 30 minutes, inclusive. Compound inequalities joined by the word and represent. The levels are classified based on the number of steps that required solving compound inequalities. Solving compound inequalities math worksheets 4 kids. Improve your math knowledge with free questions in solve compound inequalities and thousands of other math skills. Notes,whiteboard,whiteboard page,notebook software,notebook, pdf,smart,smart technologies ulc,smart board interactive whiteboard.
We will use the same problem solving strategy that we used to solve linear. Virtual nerds patentpending tutorial system provides incontext information, hints, and links to supporting tutorials, synchronized with videos, each 3 to 7 minutes long. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b. There are three types of compound inequalities which we will investigate in this lesson. Solving compound inequalities algebra 1, linear inequalitites. To model reallife situations, such as amusement park fees in ex. Compound inequality the result of combining two inequalities. Compound inequalities that are combined always have the symbols facing the same way, and generally facing right. The 35 game for compound inequalities mathcoachblog. Graphing compound inequalities math worksheets 4 kids. When solving compound inequalities, we use some of the same methods used in solving multistep inequalities.
The solution of a compound inequality that consists of two inequalities joined with the word and is the intersection of the solutions of each inequality. A compound inequality is a sentence with two inequality statements joined either by the word or or by the word and. Algebra i solve and graph compound inequalities common core aligned lesson plan with homework this lesson plan includes. Solving and graphing compound inequalities concept. Having a deeper understanding for these two words is going to help students be more successful when solving compound inequalities. All real numbers that are less than 23 or greater than or equal to 5. A compound inequality is an inequality formed by joining two inequalities with the word and or the word or. Solving linear absolute value equations and inequalities. In that case, the two inequalities will be combined with the word or. A compound inequality consists of two inequalities connected by the word and or the word or. You can combine two simple inequalities to create a.
The purpose of this warm up is for students to be able to recognize the difference and importance between the words and, and or. Write and solve a compound inequality that represents the possible operating temperatures in. When two simple inequalities are combined into one statement by the words and or or, the result is called a compound inequality. After students have had time to consider a method of solution, they should talk to their partner to develop a plan together. In this compound inequalities worksheet, 9th graders solve and complete 7 different problems that include graphing various inequalities on a number line given. Ssolving compound inequalitiesolving compound inequalities. How do you solve a compound inequality and graph the solution set.
Solving compound inequalities worksheet for 9th grade. A compound inequality is the combination of two or more inequalities. Solve each compound inequality and graph the solutions. Solving and graphing compound inequalities youtube. The endpoint on the right is an open endpoint, which represents greater than. And indicates that both statements of the compound sentence are true at the same time.
A compound inequality contains at least two inequalities that are separated by either and or or. In this warm up, i provide the students with two real world examples. Solve, graph and give interval notation to the solution of compound inequalities. Ssolving compound inequalitiesolving compound inequalities a compound inequality is an inequality formed by joining two inequalities with the word and or the word or. You will study the first type of compound inequality in this lesson. Outside the operating temperature range, the device may fail. These unique features make virtual nerd a viable alternative to private tutoring. These printable worksheets are exclusively designed for high school students. When students share out their responses, focus on one. Ixl solve compound inequalities algebra 1 practice compound inequalities a compound inequality is a sentence with two inequality statements joined either by the word or or by the word and. A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. In mathematics, it can be useful limit the solution or even have multiple solutions for an inequality. Unions when an inequality is combined by the word or the compound inequality is formed. Write a compound inequality that represents the set of all real numbers greater than or equal to 0 and less than 4.
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