MATH138 Study Guide - Final Guide: Solution Set, The Roots

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Thus the solution to |x 2| = 5 is (b) |x 4| = |3x + 2| In this case we have that |x 4| = (x 4) and |3x + 2| = (3x + 2) so that our equation becomes. (x 4) = (3x + 2) x 4 = 3x + 2. 6 = 2x x = 3 and since 3 a we have a valid solution x = 3. x b. In this case we have that |x 4| = (x 4) and |3x + 2| = 3x + 2 so that our equation becomes. 2 b we have a valid solution x = 1. 2 . and since 1 x c. In this case we have that |x 4| = x 4 and |3x + 2| = 3x + 2 so that our equation becomes x 4 = 3x + 2.

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