Transcription of Solving inequalities - Mathematics resources
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Solving inequalities - Mathematics resources
Solving inequalitiesmc-TY- inequalities -2009-1 inequalities are mathematical expressions involving the symbols>,<, and . To solve aninequality means to find a range, or ranges, of values that an unknownxcan take and still satisfythe this unit inequalities are solved by using algebra and by using order to master the techniques explained here it is vital that you undertake plenty of practiceexercises so that they become second reading this text, and/or viewing the video tutorial on this topic, you should be able to: solve simple inequalities using algebra solve simple inequalities by drawing graphs solve inequalities in which there is a modulus symbol solve quadratic of some simple used with a modulus graphs to solve mathcentre 20091. IntroductionThe expression5x 4>2x+ 3looks like an equation but with the equals sign replaced by anarrowhead. It is an example of denotes that the part on the left,5x 4, is greater than the part on the right,2x+ 3. Wewill be interested in finding the values ofxfor which the inequality is use four symbols to denote inequalities :Key Point>is greater than is greater than or equal to<is less than is less than or equal toNotice that the arrowhead always points to the smaller Manipulation of inequalitiesInequalities can be manipulated like equations and follow very similar rules, but there is oneimportant you add the same number to both sides of an inequality, the inequality remains you subtract th
Exercises1 1. Draw a number line representation of each of the following inequalities: a) x > 3 b) x ≤ 2 c) −1 < x ≤ 2 d) x ≥ 5 e) 4 ≤ x < 9 h) −6 < x < 2
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