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.

But, in fact, we cannot do this. The two inequalities x2 > x and x > 1 are not the same. This is because in the inequality x > 1, x is clearly greater than 1. But in the inequality x2 > x we have to take into account the possibility that x is negative, since if x is negative, x2 (which must be positive or zero) is always greater than x.

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