Graph each solution set on the provided number line. Solve, graph and give interval notation to the solution of compound inequalities. When solving andor compound inequalities, begin by solving each inequality individually. A l 1mda9d ken 6wsi rt 4hw hinnbf ti7n nipt ie2 uajlagte 8b 0r4al y1ee worksheet. Compound inequalities worksheet with answers compound inequalities worksheet with answers solve each compound inequality and graph its solution. Compound inequalities with solutions teaching resources. Oct 26, 2016 a pulley can handle no more than 800 lbs of weight. Understanding compound inequalities college algebra. A compound inequality includes two inequalities in one statement.
In this lesson, you will learn about different ways two inequalities can be combined and how to find their solution. Compound inequalities 1 cool math has free online cool math lessons, cool math games and fun math activities. Solve each compound inequality, graph its solution, and give interval notation. It is the overlap, or intersection, of the solutions for each inequality. Solve compound inequalities and inequalities involving absolute value. A compound inequality is simply the combination of two or more inequalities.
Questions 1618 provide an opportunity for students to apply their understanding of absolute value equations and inequalities by writing equations and inequalities for a given solution set. When two inequalities are joined by the word and, the solution of the compound inequality occurs when both inequalities are true at the same time. Compound inequalities algebra practice khan academy. Distribute copies of the absolute value equationsinequalities activity sheet. A compound inequality containing or is true if one or more of the.
Solve and graph simple and compound inequalities a3. This compound inequalities foldable covers solving and and or compound inequalities, and writing compound inequalities from a graph. Compound inequalities is a method to find the variable value for the given compound inequalities. Then solve each inequality, writing the solution as a union of the two solutions. All but one of the rules for solving linear inequalities are the same as solving linear equations. The solution will come when we determine whether any area shaded is the solution area, or is the overlap the solution area. Twentyfour minus two times a number is less than 36. Created with that quiz where test making and test taking are made easy for math and other subject areas.
Create a compound inequality for the following word problems. Several inequalities can be combined together to form what are called compound inequalities. A 3 uail gl 5 srhi tg whjt rs i mr6e hs mexrcv 0ewdu. Being that this is a test day, students will be expected to persevere individually with problems to find correct solutions mathematical practice 1, paying close attention to precision. Solving compound inequalities andor solve the following compound inequalities and graph the solution on the number line.
There are three types of compound inequalities which we will investigate in this lesson. Write down an inequality and solve it to find the range of values of x. A pulley can handle no more than 800 lbs of weight. When the arrow points away from each other in the number line, then the inequalities are joined by and, if arrow. Students will be matching vocabulary involving the properties of equality, solving twostep and multistep equations, solving proportions, solving twostep inequalities, graphing twostep inequalities, solving compound inequalities. This is a normal result, because it falls within the range of 65. Unit 3 practice test inequalities and absolute value pdf rpdp.
A compound inequality is an inequality formed by joining two inequalities with the word and or the word or. Having a deeper understanding for these two words is going to help students be more successful when solving compound inequalities. Compound inequalities book summaries, test preparation. The purpose of this warm up is for students to be able to recognize the difference and importance between the words and, and or.
Multiple choice 80 points, 5 points each identify the choice that best completes the statement or answers the question. Then graph the solution y define a variable, write an inequality, and solve. The average of aarons three test scores must be at least 93 to earn an a in the. The two inequalities would be joined by the word and or or. Write a compound inequality for each number line shown below. Seventh grade lesson inequalities test betterlesson. An emphasis on graphing the solution set and writing the solution set in setbuilder notation is included. On the newest version of the sat an exam that often qualifies students for colleges the minimum score that you can earn is \400\ and. This packet helps students practice how to solve compound inequalities with and the inequalities converge. The temperature today ranged from 2 degrees to 8 degrees. Mathematics instructional plan absolute value equations. Solve the compound inequality and graph the solution on the number line.
A compound inequality is an inequality that is formed by the union, or, or the intersection, and, of two simple inequalities. For disjunction problems, any area shaded is part of the. Jade just took a math test with 20 questions, each question is worth an equal. Compound inequalities worksheet solve each inequality and graph its solution. Really clear math lessons prealgebra, algebra, precalculus, cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. In this warm up, i provide the students with two real world examples. Solving inequalities multistep solve the following inequalities and graph the solution on the number line. Write an inequality that can be used to find the minimum number of weeks you must. Inequalities ks3 and ks4 noncalculator with some examples. This union is worked out as two separate inequalities and then graphed on a common number line. The 35 game for compound inequalities mathcoachblog. And indicates that both statements of the compound sentence are true at the same time. Compound inequalities are similar to compound statements, as they are two simple inequalities joined by conjunctions.
There are three types of compound inequalities which we will investi gate in this lesson. Solve the inequalities a in each case, write down the greatest integer value of x. Each page starts with easier problems that get more difficult as students work through the packet. The extend activity requires students to combine two different inequalities into one. Write the word or phrase that best completes each statement or answers the question.
The test consists of 20 multiple choice questions, utilizing mastery connect. Solve compound inequalities in the form of or and express the solution graphically and with an interval. Algebra i practice test inequalities and absolute value unit 3 alg i unit 3 ptest inequalities and absolute value page 3 of 5 642015 15. Amanda wants to load as many bricks onto it as she can without it breaking. Chapter 6 solving linear inequalities 316d if the solution is an untrue statement, such as 4 8, there is no solution. Ninth grade lesson solving compound inequalities betterlesson. If you divide or multiply an inequality by a negative number, reverse the inequality to obtain an equivalent inequality. Solve each compound inequality and graph its solution. Included is a pre test and post test on equations and inequalities. Have the students complete the problems using whichever method they choose.
Solving inequalities by using the test point method. Compound inequalities involving the word or require us to solve each inequality and form the union of each solution set. The perimeter of the rectangle, r is less than the perimeter of the square, s. If the solution results in a statement that is always true, such as 5 3, then the. This foldable is perfect for a standalone lesson, revie. Solving compound inequalities algebra i quiz quizizz. Pets in the united states, about 75 million dogs are kept as pets. Pcc course content and outcome guide mth 95 ccog 4. It is currently holding 4 steel frames that weigh 112 lbs each.
For 12, write an inequality to describe the situation. A compound inequality is the combination of two or more inequalities. Compound inequalities compound inequalitiestwo inequalities joined by the word and or the word or. If the absolute value is greater than or greater than or equal to a positive numbe r, set the argument less than the opposite of the number and greater than the number using an or statement in between the two inequalities. If set d is a subset of set e, then which of the following is true. Compound inequality using the word and is true if and only if both inequalities are true. A patient has a reading of 94 mgdl from a blood test. Unions when an inequality is combined by the word or the compound inequality is formed. Compound inequalities a compound inequality is a sentence with two inequality statements joined either by the word or or by the word and. Suppose that the compound inequalities are x 2 and x pdf practice packet. Included is a pretest and posttest on equations and inequalities. When two inequalities are joined by the word or, the solution is any value that works in one inequality or the other or both. This week in algebra 1, my students completed the first part of their inequalities unit with much success, but now storm clouds appear on the horizon compound inequalities, where english class meets math class with talk of conjunctions those pesky ands and ors. Students will be matching vocabulary involving the properties of equality, solving twostep and multistep equations, solving proportions, solving twostep inequalities, graphing two.
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