Alg_Complete

# A number will not satisfy an inequality if we get an

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Unformatted text preview: lity and so z = -5 satisfies the inequality and so will be a solution. [Return to Problems] We should also do a quick example of numbers that aren’t solution so we can see how these will work as well. Example 2 Show that the following numbers aren’t solutions to the given equation or inequality. (a) y = -2 in 3 ( y + 1) = 4 y - 5 [Solution] (b) z = -12 in 2 ( z - 5 ) £ 4 z [Solution] Solution (a) In this case we do essentially the same thing that we did in the previous example. Plug the number in and show that this time it doesn’t satisfy the equation. For equations that will mean that the right side of the equation will not equal the left side of the equation. 3 ( -2 + 1) = 4 ( -2 ) - 5 ? - 3 ¹ -13 NOT OK So, -3 is not the same as -13 and so the equation isn’t satisfied. Therefore y = -2 isn’t a solution to the equation. [Return to Problems] (b) This time we’ve got an inequality. A number will not satisfy an inequality if we get an inequality that isn’t true after plugging the number in. ? 2 ( -12 - 5 ) £ 4 ( -12 ) - 34 £ - 48 NOT OK In this case -34 i...
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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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