I solved the following problem from by book, but the answer of this problem at the end of book is $x \leq 3$. Please tell me how I can get this answer.
Question about solving absolute values.
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algebra-precalculus
absolute-value
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2is the picture your solution or the solution from your book? supposing former: now 0=0 holds for any x; so you should include [in the answer] all x from the second case -- i.e. all x s.t. |x-3|=-(x-3) – 2010-08-20
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1Out of curiosity, did you create the image of the solution above? If so, was it done with TI-Nspire software or something else? – 2010-08-20
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1On the right 0=0 is true, which means that all x such that x-3<0, or equivalently x<3, are valid solutions. This combined with the other solution on the left x=3, gives you x<=3 as a solution. – 2010-08-20