Multiplying both sides of an inequality by the same number always produces an equivalent inequality. Inequalities reporting category equations and inequalities topic relating the graphing of a line to solving an inequality in one variable primary sol a. Ssolving compound inequalitiesolving compound inequalities. For this type of inequality we want a true statment from either one inequality or the other inequality or both. G b2 k0a1x1w gkkult xah xs lo ifxt1wsarr1ed 2l zl ycq. Solving and graphing compound inequalities concept. Learn how to solve compound inequalities and graph their solution on a number line. Ssolving compound inequalitiesolving compound inequalities a compound inequality is an inequality formed by joining two inequalities with the word and or the word or. Clevel alternatives replace some of the simpler inequalities with more complex ones that have. A compound inequality is an inequality having more than 1 inequality sign.
Explain the difference between solving 2x and solving. Unions when an inequality is combined by the word or the compound inequality is formed. Graphing inequalities workheet 2 here is a 15 problem worksheet where students will graph simple inequalities like x 2. There are three types of compound inequalities which we will investigate in this lesson. Graph the solution set of the inequality and interpret it in the context of the problem. These worksheets are especially meant for prealgebra and algebra 1 courses grades 79. Collaborate to solve compound inequalities compound. Graphing compound inequalities math worksheets 4 kids. Choose from 500 different sets of introduction to compound inequalities flashcards on quizlet. The graph shows numbers that are solutions of both inequalities. Many textbooks do this also, since it translates directly into the interval notation form. When two simple inequalities are combined into one statement by the words and or or, the result is called a compound inequality. All real numbers that are less than or equal to 3 or greater than 6.
Learn introduction to compound inequalities with free interactive flashcards. Be careful, you may have to reverse one or two of the inequality symbols to get the correct solution set. Topics include basic singlevariable inequalities, as well as, onestep, twostep, and compound inequalities. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1e.
An or inequality means that a possible solution could be less than a certain number or greater than the other number. The resulting graph should have two arrows pointing outwards away from each other. All real numbers that are greater than or equal to 2 and less than 2. The graph of a compound inequality with and is the intersection of the graphs of the inequalities. In mathematics, it can be useful limit the solution or even have multiple solutions for an inequality. The words and and or are used to describe how the two parts are related. When we are graphing these type of inequalities we will. Aug 31, 2015 learn how to solve compound inequalities and graph their solution on a number line.
Alevel alternatives if students need practice recognizing graphs of inequalities you might choose to use only the solution and the graph cards. A compound inequality contains at least two inequality symbols. The inequalities you have seen so far are simple inequalities. Several inequalities can be combined together to form what are called compound inequalities. T z om da gdhef rwfidtaha vi0ndf7ien1i 1t0et sa kl. All real numbers that are greater than 8 and less than or equal to 3. When a compound inequality with and is written as a single inequality, you can solve the inequality by performing the same operation on each expression. This activity allows students to graph solutions to compound inequalities and also shows the solutions. Solving and graphing or compound inequalities solving word problems using inequalities overview writing and solving inequalities given a word problem simple inequalities graphing simple inequalities explore more at 0 0. Al students earning above a 90 or below a 60 were asked to report to room a for addtiona instructions. They are also to identify whether the given solution is true. When solving for y, dont forget to flip the inequality symbol if you multiply or divide by a negative.
We will use the same problem solving strategy that we used to solve. When solving compound inequalities, we use some of the same methods used in solving multistep inequalities. The graph of x compound inequality, the graph is of the overlapping region, and it looks like this. Improve your math knowledge with free questions in graph compound inequalities and thousands of other math skills. Solve, graph and give interval notation to the solution of compound inequalities. Kevin uses a matrix to organize students into two groups vertical, letter groups and horizontal, number groups.
You can solve a compound inequality by solving two inequalities separately. Solving inequalities mctyinequalities20091 inequalities are mathematical expressions involving the symbols. This union is worked out as two separate inequalities and then graphed on a common number line. There are three types of compound inequalities which we will investi gate in this lesson. Graph the solution set to the compound inequality x. Ninth grade lesson solving compound inequalities betterlesson. Solve each compound inequality and graph its solution. Solving and graphing compound inequalities youtube. T z om da gdhef rwfidtaha vi0ndf7ien1i 1t0et sa kl vgpe ib grlar q2w. Compound inequality the result of combining two inequalities. Worksheets for algebra i, module 1, lesson 16 pdf lesson 16 student outcomes students solve two inequalities joined by and or or, then graph the solution set on the number line. The graph of a compound inequality with an or represents the union of the graphs of the inequalities. Solving inequalities mctyinequalities20091 inequalities are mathematical expressions involving the symbols, compound inequalities individually and graph on the same number line. Compound inequalities name solve each compound inequality and graph it on a number line.
Al students earning above a 90 or below a 60 were asked to report to room a. Ixl graph compound inequalities algebra 1 practice. Solve each compound inequality for x and graph the solution on a number line. A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. For this we use compound inequalities, inequalities with multiple inequality signs. Solve compound inequalities containing the word or and graph their solution sets. I recommend that you work out the problem instead of making a guess. The ages of the students in this class are greater than 12 but less than 16. Feb 24, 2015 eighth grade algebra teacher kevin cuccaro uses cooperative grouping and a jigsaw strategy to structure student exploration of solving compound inequalities. Graphing compound inequalities on number line geogebra. Algebra 1 honors 2nd quarter miami arts charter school.
Graphing inequalities workheet 6 here is a 12 problem worksheet where students will both solve inequalities and graph inequalities on a number line. A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. Free worksheets for solving or graphing linear inequalities with this worksheet generator, you can make customizable worksheets for linear inequalities in one variable. The solutions to compound inequalities can be graphed on a number line, and can be expressed as intervals. The following are some examples of compound inequalities. Solve and graph simple and compound inequalities a3. Inequalities worksheets the pages below all have printable algebra worksheets for teaching students to solve and graph inequalities. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b. Free worksheets for solving or graphing linear inequalities. If you multiply or divide each side of the inequality by a negative number, change the direction of the inequality. Solve each inequality, graph the solution, and give interval notation of solution. Also, you might want to replace the two inequalities which involve decimals and skip exercises 79. Solving compound inequalities algebra 1, linear inequalitites.
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