For the two equations we looked at above here are the

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Unformatted text preview: s NOT less than or equal to -48 and so the inequality isn’t satisfied. Therefore z = -12 is not a solution to the inequality. [Return to Problems] Now, there is no reason to think that a given equation or inequality will only have a single solution. In fact, as the first example showed the inequality 2 ( z - 5 ) £ 4 z has at least two solutions. Also, you might have noticed that x = 3 is not the only solution to x 2 - 9 = 0 . In this case x = -3 is also a solution. We call the complete set of all solutions the solution set for the equation or inequality. There is also some formal notation for solution sets although we won’t be using it all that often in this course. Regardless of that fact we should still acknowledge it. © 2007 Paul Dawkins 60 http://tutorial.math.lamar.edu/terms.aspx College Algebra For equations we denote the solution set by enclosing all the solutions is a set of braces, { }. For the two equations we looked at above here are the solution sets them. 3 ( y + 1) = 4 y - 5 Solution Set : {8} x2 - 9 = 0 Solution Set : {-3,3} For inequalities we have a similar notation. De...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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