Unions when an inequality is combined by the word or the compound inequality is formed. Solving compound inequalities in a compound inequality, one variable is related to two different amounts with two inequality signs. Solve each compound inequality and graph its solution. You can solve a compound inequality by solving two inequalities separately. If the inequalities are joined by the word and, find the intersection of. Solving compound inequalities worksheet for 9th grade.
Solving using graphing is special because the graphing utility we use. This union is worked out as two separate inequalities and. This solving compound inequalities worksheet is suitable for 9th grade. A compound inequality is a sentence with two inequality statements joined either by the word or or by the word and. An emphasis on graphing the solution set and writing the solution set in setbuilder notation is included. A compound inequality contains at least two inequality symbols. Compound inequalities is a method to find the variable value for the given compound inequalities.
By using this website, you agree to our cookie policy. A number is a solution to the compound inequality if the number is a solution to both inequalities. This compound inequalities foldable covers solving and and or compound inequalities, and writing compound inequalities from a graph. A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. Compound inequalites practice mathbitsnotebooka1 ccss. What is the first step in solving a compound inequality.
Solving and graphing compound inequalities problem 2. Topics include basic singlevariable inequalities, as well as, onestep, twostep, and compound inequalities. It is the overlap or intersection of the solution sets for the individual statements. Compound inequalities date period r worksheet by kuta software llc. The signs may be the same or they may be different. Several inequalities can be combined together to form what are called compound inequalities. This algebra 2 video tutorial focuses on solving compound inequalities with fractions. We will learn about conjunction compound inequalities which involve two inequalities. The two inequalities would be joined by the word and or or.
To solve a compound inequality, first separate it into two inequalities. To find the solution of the compound inequality, we look at the graphs of each inequality and then find the numbers that belong to both graphs where the graphs overlap. Solve and graph compound inequalities and and or situations make your own worksheets. These inequality worksheets will produce problems for graphing single variable inequalities. If and is written between the inequalities, or the variable expression is between the two inequality signs, the graph is the intersection of the two. Graphing inequalities workheet 2 here is a 15 problem worksheet where students will graph simple inequalities like x 2. A 3 uail gl 5 srhi tg whjt rs i mr6e hs mexrcv 0ewdu. Mathbitsnotebook algebra 1 ccss lessons and practice is free site for students and teachers studying a first year of high school algebra. In this lesson you will learn how to solve more complex inequalities in algebra known as compound inequalities. These printable worksheets are exclusively designed for high school students. Essentially, all of the properties that you learned to solve linear equations apply to solving linear inequalities with the exception that if you multiply or divide by a negative you must reverse the inequality sign. A very curious thing happens in the next compound inequality. And indicates that both statements of the compound sentence are true at the same time. You may choose to have the student to graph the inequalities, write the equation of the graphed inequality, or both.
Math video on how to solve and graph compound inequalities with two inequality signs of an and. Solving compound inequalities with fractions using. The set of all solutions of an inequality is called the solution set. It shows you how to graph the solution on a number line and how to. Graphing inequalities workheet 6 here is a 12 problem worksheet where students will both solve inequalities and graph inequalities on a number line. If it is unclear whether the inequality is a union of sets or an intersection of sets.
Each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. Free inequality calculator solve linear, quadratic and absolute value inequalities stepbystep this website uses cookies to ensure you get the best experience. The levels are classified based on the number of steps that required solving compound inequalities. In this compound inequalities worksheet, 9th graders solve and complete 7 different problems that include graphing various inequalities on a number line given. In this text, we have mostly focused on solving inequalities algebraically. This foldable is perfect for a standalone lesson, revie. There are three types of compound inequalities which we.
When we are graphing these type of inequalities we will graph each individual inequality above the number line, then move them both down together onto the actual number line for our graph that combines them together. The steps used to graph a quadratic inequality are very much. This solution is the intersection of the solutions of the simple inequalities. Pcc course content and outcome guide mth 95 ccog 5. Graphing compound inequalities math worksheets 4 kids. Solve compound inequalities mathematics libretexts. A compound inequality that uses the word and to separate two simple inequalities is an example of a conjunction. The graph of a compound inequality with an and represents the intersection of the graph of the inequalities. For compound inequalities, mathematical operations must be applied to all sides of the inequality left, right and middle and division or multiplication by negatives reverses the direction of the sign. A compound inequality contains at least two inequalities that are separated by either and or or. Algebra i solve and graph compound inequalities common core aligned lesson plan with homework this lesson plan includes. The graph of a compound inequality that involves an or statement is bounded on the left and right by two values of x.
After students have had time to consider a method of solution, they should talk to their partner to develop a plan together. Students recognize the meaning of and as an intersection of solutions, and or meaning that only one of the inequalities have to be true. When two simple inequalities are combined into one statement by the words and or or, the result is called a compound inequality. The overlapping region is called the intersection and shows the numbers that are solutions of both inequalities. Solve, graph and give interval notation to the solution of compound inequalities. When the arrow points away from each other in the number line, then the inequalities are joined by and, if arrow.
Be careful, you may have to reverse one or two of the inequality symbols to get the correct solution set. For this type of inequality we want a true statment from either one inequality or the other inequality or both. When students share out their responses, focus on one. While we have had some practice solving inequalities graphically 11. All real numbers that are greater than or equal to 2 and less than 2. Ninth grade lesson compound inequalities betterlesson. The solution set of a conjunction is the set of solutions that make both simple inequalities true. For this we use compound inequalities, inequalities with multiple inequality signs. Improve your math knowledge with free questions in graph compound inequalities and thousands of other math skills. Ixl graph compound inequalities algebra 1 practice.
Multiple choice what compound inequality is graphed below. Then graph the solution y define a variable, write an inequality, and solve. Al students earning above a 90 or below a 65 were asked to report to room a for addtiona instructions can you write this as a compound inequality. Interval notation and linear inequalities section 1. Solving and graphing compound inequalities concept. Inequalities worksheets the pages below all have printable algebra worksheets for teaching students to solve and graph inequalities. So to solve an inequality just do the same steps as.