A compound inequality is a sentence with two inequality statements joined either by the word or or by the word and. We can either use the word and or or to indicate if we are looking at the solution to both. The graph of a linear inequality in one variable is a number line. This union is worked out as two separate inequalities and then graphed on a common number line.
These inequality worksheets have one variable in each problem. Unions when an inequality is combined by the word or the compound inequality is formed. Free inequality calculator solve linear, quadratic and absolute value inequalities stepbystep this website uses cookies to ensure you get the best experience. A closed circle on the graph represents less than or equal to. Create equations and inequalities in one variable and use them to solve problems. Solving linear inequalities and representing the solution a. Solution of a linear inequality is any replacement for the variable that satisfied the. A number is a solution to the compound inequality if. Vocabulary inequality variable equation solutionpreserving moves. A linear inequality in one variable is an inequality that can be written in the form. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. The graph of a compound inequality with an and represents the intersection of the graph of the inequalities. Pdf solution set of any inequality or compound inequality, which has one variable, lies in the real line which is one.
Chapter 8 simple and compound interest objective type questions chapter 8 simple and compound interest check your progress. To solve onestep inequalities, follow the same procedures as when solving. Solve each compound inequality and find the solutions. This page has very basic worksheets to introduce expressions, equations, and variables. For example, when we want to say the solutions include all values between, but not including, 3 and 9, we could say that x 3 and x 12 becomes 12 9 are examples of in one variable. In the activity you may have discovered some of the following properties of inequalities. It is the overlap or intersection of the solution sets for the individual statements. I work through many examples of solving one variable inequalities including compound inequalities. When you graph inequalities that have only one variable, we use a number line. When two simple inequalities are combined into one statement by the words and or or, the result is called a. A compound statement is formed by combining two or more simple.
These printable worksheets are exclusively designed for high school students. A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. Each section except the first section contains three levels of compound inequalities worksheets based on either solving or graphing or both. Comparative shopping you are choosing between two different cell phone plans. Create your own worksheets like this one with infinite algebra 1. Students should be able to identify orderpreserving moves while solving inequalities in one variable and justify the solution for a linear inequality in one variable. Let a be a non zero real numbers and x be a variable.
Compound inequalities algebra practice khan academy. Graphing inequalities on a number line definitions. Be careful, you may have to reverse one or two of the inequality symbols to get the correct solution set. Compound inequalities are also known as and and or compound inequalities. This page has printables with singlestep inequalities. Compound inequalities sometimes, more than one inequality is described in the same expression. Our inequalities worksheets are free to download, easy to use, and very. We will use open and closed circles and arrows pointing to the left or right to graph our answers. Solve and graph the inequalities with only one variable.
Single variable inequalities on each of these printable prealgebra worksheets, students will solve, write, andor graph simple, onevariable inequalities. Solve each compound inequality and graph its solution. The levels are classified based on the number of steps that required solving compound inequalities. They do not need to perform any steps to isolate the variable. Graph each basic compound inequality in a number line at the correct interval. Andor compound inequalities with one variable youtube. Solving linear inequalities in one variable examples.
Solving compound inequalities algebra 1, linear inequalitites. Each high school pdf worksheet contains 10 multiple choices only eight in. Solve each inequality, graph the solution, and express it interval notation. Although a one variable inequalitys solution set is a. Solving onevariable linear equations solving onevariable linear inequalities our mission is to provide a free, worldclass education to anyone, anywhere. For the love of physics walter lewin may 16, 2011 duration. For example, x 2 is a solution to the given compound inequality because it will satisfy both individual simple inequalities. With our pdf worksheets, students can practice their knowledge and get ready for. In this section, we will learn, how to solve linear inequalities in one variable.
Inequalities that have the same solution are called equivalent. Compound inequalities worksheets math worksheets 4 kids. Pdf using dynamic mathematics software to teach onevariable. We have properties of inequality handout, graphing single variables, one step by. V w kmla cdhe f sw3imt jhf i5n cf0ipn0iztce u fagl6g 0evb qrqay k1 d. Algebra 1 worksheets inequalities worksheets mathaids. Compound inequalities involving the word and require the intersection of the solution sets for each inequality. A compound inequality is just more than one inequality that we want to solve at the same time. Compound inequalities involving the word or require us to solve each inequality and form the union of each solution set. There are properties of inequalities as well as there were properties of equality. I finish these examples by graphing the solutions on a number line.
By using this website, you agree to our cookie policy. This is the next level up from single variable inequalities. A of an inequality in one variable is a value of the variable that makes the inequality true. And indicates that both statements of the compound sentence are true at the same time. These are the values that solve at least one of the given inequalities. Pdf solution set of any inequality or compound inequality, which has onevariable, lies in the real line which is one. Linear inequalityis an algebraic expression of the form ax bdc or ax bt c or ax b c or ax b. In grade 8, writing onevariable equations or inequalities with variables on both sides that represent problems using rational number coefficients and constants as well as writing a corresponding realworld problem when given a onevariable equation or inequality with variables on both sides of the equal sign using rational number coefficients. Students need to isolate the variable using only one step. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Graphing inequalities date period kuta software llc. Chapter 12 linear equations and inequalities in one variable objective type questions.
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