These dynamically created prealgebra worksheets allow you to select different variables to customize for your needs. The purpose of this warm up is for students to be able to recognize the difference and importance between the words and, and or. For example, the following are compound inequalities. If you multiply or divide by a negative number you must switch the sign.
People from age 16 to 65 can give blood at a blood bank. We use an open circle to indicate greater than but not equal to we use an. A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. This foldable is perfect for a standalone lesson, revie. X v dmfa1dse x jwmiotuhd ki fn affi 4n si7tge f ba2ldgce8brr da 0. A compound inequality is made up of two inequalities connected by the word and or the word or. Find three consecutive even integers whose sum is between 80 and 91. Find three consecutive odd integers whose sum is between 75 and 91. Then a refresher on solving linear inequalities may also benefit you, which you can revisit in section 2. This union is worked out as two separate inequalities and. Describe the solution set of a compound sentence which uses the word or to connect two inequalities.
When two simple inequalities are combined into one statement by the words and or or, the result is called a compound inequality. Linear equations and inequalities lecture notes math 1010 ex. To solve a compound inequality means to find all values of the variable that make the compound inequality a true statement. Several inequalities can be combined together to form what are called compound inequalities.
When the arrow points away from each other in the number line, then the inequalities are joined by and, if arrow points on same direction. Clt use the distributive property to remove grouping symbols. Solving compound inequalities worksheet for 9th grade. The graph of a compound inequality containing or is the union of the graphs of the two inequalities. Solve compound inequalities mathematics libretexts. Compound inequalities with solutions teaching resources. First, they graph the solution set of each compound inequality. There are three types of compound inequalities which we will investigate in this lesson. The extend activity requires students to combine two different inequalities into one. Compound inequalities that contain the word and are true only if both inequalities are compound true.
Get all the variables to one side of the equal inequality sign. Solving equations and inequalities to solve a linear equation or inequality, simply follow a 4 or 5. A linear equation in one variable is also called a. Algebra 1 answers to chapter 3 solving inequalities 36 compound inequalities practice and problemsolving exercises page 205 39 including work step by step written by community members like you. Solve linear inequalities involving the distributive property. Solve compound inequalities with and now that we know how to solve linear inequalities, the next step is to look at compound inequalities. An example problem on solving and graphing inequalities with fractions. Having a deeper understanding for these two words is going to help students be more successful when solving compound inequalities. The inequalities you have seen so far are simple inequalities. On the outside of the foldable, we did one example of an and inequality and one example of. These prealgebra worksheets are perfect for teachers because they will never repeat.
Find three consecutive even integers whose sum is between 46 and 62. We solve compound inequalities using the same techniques we used to solve linear inequalities. Advanced math class integrated algebra 9th grade mathematics. This compound inequalities foldable covers solving and and or compound inequalities, and writing compound inequalities from a graph. Algebra 1 chapter 3 solving inequalities 36 compound. This union is worked out as two separate inequalities and then graphed on a common number line. O 92 j0z1 h27 xkqu 3tsa x isno mfgtlwvazr xeb mlalgce.
The graph of x compound inequality, the graph is of the overlapping region, and it looks like this. So far this season, frank has scored 14, 18, 12, and 16 points in each of his last. We solve each inequality separately and then consider the two solutions. Write a compound inequality to describe the possible ages a at which blood can be given. Solve each compound inequality and graph its solution. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b. One way you can solve a compound inequality is by writing two inequalities.
Ive never really given my students as reason for why we need to even deal with compound inequalities in the first place. Solve, graph and give interval notation to the solution of compound inequalities. Unions when an inequality is combined by the word or the compound inequality is formed. Study guide and intervention continued solving compound inequalities inequalities containing ora compound inequality containing or is true if one or both of the inequalities are true. The two inequalities would be joined by the word and or or. Heres the foldable i ended up creating for my algebra 1 students this year.
In this warm up, i provide the students with two real world examples. This solving compound inequalities worksheet is suitable for 9th grade. Solving compound inequalities worksheet free pdf file. Solving inequalities is the same as solving equations.
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