The graph of a compound inequality with an and represents the intersection of the graph of the inequalities. Unions when an inequality is combined by the word or the compound inequality is formed. Isolate a positive x on the left side using algebra reverse the inequality sign when multdivide by a negative. Several inequalities can be combined together to form what are called compound inequalities. Compound inequalities compound inequalities, graphing on a number line and solving interval notation. The compound inequality is m 2 and m sep 24, 2017 three worksheets at different difficulty levels first steps, strengthen and extend. You may select which type of inequality to use in the problems. Create your own worksheets like this one with infinite algebra 1. This is because the answer cant be equal to 7 or 3. Use inverse operations or mental math to solve for x. All real numbers that are less than 23 or greater than or equal to 5. Find three consecutive even integers whose sum is between 46 and 62.
Each high school pdf worksheet contains 10 multiple choices only eight in multistep based on identifying correct solutions for the compound inequalities. Two inequalities joined by the words and or or are called compound inequalities. Algebra 1 worksheets inequalities worksheets mathaids. Chapter 6 solving linear inequalities 316d if the solution is an untrue statement, such as 4 8, there is no solution. Graph the solution set of the inequality and interpret it in the context of the problem. A compound inequality is a sentence with two inequality statements joined either by the word or or by the word and. Working with inequalities free prealgrebra math worksheets. Student notes work well as guided instruction with the teacher providing examples of what a compound inequality looks like as an inequality. A number is a solution to the compound inequality if. Solve, graph and give interval notation to the solution of compound inequalities. Compound inequality using the word and is true if and only if both inequalities are true. Ninth grade lesson solving compound inequalities betterlesson. Solving compound inequalities worksheet for 9th grade. Corresponds to the less than greater than is less than is are will be only more than.
These are onestep inequalities with mostly positive integers. Bellow you can download some free math worksheets and practice. Write an inequality where x is the number of pop tabs you collect during the last inequality. This is a great foldable to include in a lesson int. These inequality worksheets are a good resource for students in the 5th grade through the 8th grade. Graphing compound inequalities math worksheets 4 kids. If i know that x 8 and x pdf lesson 16 student outcomes students solve two inequalities joined by and or or, then graph the solution set on the number line. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e. A 3 uail gl 5 srhi tg whjt rs i mr6e hs mexrcv 0ewdu. A worksheet on solving simultaneously two linear inequalities in one variable using the real number line. Compound inequalities compound inequalitiestwo inequalities joined by the word and or the word or. When two simple inequalities are combined into one statement by the words and or or, the result is called a compound inequality. All worksheets are free to download and use for practice or in your classroom.
The pages below all have printable algebra worksheets for teaching students to solve and graph inequalities. Create your own worksheets like this one with infinite algebra 2. A certain recipe calls for a cake to bake between 25 minutes and 30 minutes, inclusive. And and or statements recall that for a statement separated by and to be true both statements must be true.
These printable worksheets are exclusively designed for high school students. In this compound inequalities worksheet, 9th graders solve and complete 7 different problems that include graphing various inequalities on a number line given. It is the overlap or intersection of the solution sets for the individual statements. Compound inequalities with solutions teaching resources. The following are some examples of compound inequalities. Compound inequalities worksheets math worksheets 4 kids. Write the compound inequality for each solution set shown below. Swbat solve a compound inequality and write their solution in interval notation. Three worksheets at different difficulty levels first steps, strengthen and extend. A solution can always be checked by substituting it back into the inequality.
Math worksheets examples, worksheets, solutions, and activities to help algebra 1 students learn how to solve compound inequalities. Coordinate algebra compound inequalities notes date. There are three types of compound inequalities which we will investigate in this lesson. Solve each compound inequality and graph its solution. Absolute value inequality worksheets single variable absolute value inequality worksheet 1 here is a 9 problem worksheet where you will find the solution set of absolute value inequalities. Topics include basic singlevariable inequalities, as well as, onestep, twostep, and compound inequalities.
Use the link at the top of the page for a printable page. Solving inequality worksheets using addition and subtraction solving inequality worksheets using multiplication and division one step inequality with graph worksheets solving inequality conjunctions worksheets solving inequality disjunctions worksheets compound inequality worksheets two step inequalities worksheets. Jan 27, 2018 the compound equalities worksheet is an invaluable tool for those who are studying a variety of different types of inequalities. What are the possible numbers of pop tabs you can collect during the last week in order to win the recycling contest. Algebra 1 inequalities worksheets compound inequalities. Although the research has already been done, there are some people who choose to delve into the study of inequalities in order to improve their own lives. This is a less than inequality so we can write it as a compound inequality and they will connect on the graph. Compound inequalities write a compound inequality that represents each phrase. Three worksheets at different difficulty levels first steps, strengthen. Two step inequalities inequalities worksheets these inequality worksheets will produce two step inequalities problems for graphing. You can select different variables to customize these inequalities worksheets for your needs. Compound inequality a compound inequality is a statement in which two inequalities are connected by the word and or the word or. The extend activity requires students to combine two different inequalities into one. Write an inequality for the number of sales you need to make, and describe the solutions.
Compound inequality worksheets for 6th grade and 7th grade. This solving compound inequalities worksheet is suitable for 9th grade. We have properties of inequality handout, graphing single variables, one step by adding, subtracting, multiplying, and dividing, two step, multiple step, compound. Solving inequalities worksheet 1 here is a twelve problem worksheet featuring simple onestep inequalities. The compound equalities worksheet is an invaluable tool for those who are studying a variety of different types of inequalities. Oct 07, 2016 introducing compound inequalities with a foldable i have never been happy with how ive taught compound inequalities in the past. Ninth grade lesson compound inequalities betterlesson. Definition the inequalities you have seen so far are simple inequalities. And indicates that both statements of the compound sentence are true at the same time.
Several inequalities can be combined together to form what are. If the solution results in a statement that is always true, such as 5 3, then the solution is the set of all real numbers. Graphing single variable inequalities worksheets these inequality worksheets will produce problems for graphing single variable inequalities. Solve each inequality, sketch the graph for each and write the solution interval using interval notation. Create your own worksheets like this one with infinite. Solve each compound inequality and graph the solution set.
Relating expressions with inequalities is an important part of prealgebra. Symbols and vocabulary algebra rules general rules. You may choose to have the student to graph the inequalities, write the equation of the graphed inequality, or both. All we ask is that you dont remove the kidsmart logo. Compound inequality the result of combining two inequalities. A compound inequality contains at least two inequality symbols.
Suppose you collected 82, 86, and 84 pop tabs during the first three weeks of competition. Download free prealgebra inequalities worksheets below. Youve been inactive for a while, logging you out in a few seconds. Compound inequalities worksheet solve each inequality and graph its solution. This collection of free printable worksheets on inequality is sure to remove all hurdles and help students of sixth grade and above gain integral practice in solving inequalities. Compound inequalities word problems flashcards quizlet. This algebra 1 worksheet will produce compound inequalities problems for graphing. Andor each flap has a model problem and a practice problem. Solving compound inequalities algebra 1, linear inequalitites. This quiz and worksheet combo will help you understand how to solve a compound inequality that uses and or or. The questions are carefully selected so that they help students to develop their understanding of inequalities that have both an upper and lower bound. Each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. The levels are classified based on the number of steps that required solving compound inequalities. Ive never really given my students as reason for why we need to even deal with compound inequalities in the first place.