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OpenStudy (anonymous):
Solve |2 - 3x| = 7. A. {-5/3, 3} B. {-15, 3} C. {-3, 5/3} D. {-3, 15}
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OpenStudy (anonymous):
|x| is the same thing as |-x| by the definition of absolute value. So, |2 - 3x| = 7 is the same thing as |-(2 - 3x)| = 7. To solve this we get rid of the absolute value signs and turn it into two problems. |2 - 3x| = 7 |-(2 - 3x)| = 7 2 - 3x = 7 -2 -3x = 5 /-3 x = 5/-3 |-(2 - 3x)| = 7 -(2 - 3x) = 7 -2 + 3x = 7 +2 3x = 9 /3 x = 3 x = 3, (5/-3) A.
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