Question 196732This question is from textbook Algebra for College Students
: 3 - 1/2(1/2x - 4) = 2 The parenthesis are straight lines for absolute value bars. What are the solutions for x?
This question is from textbook Algebra for College Students
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! 3 - 1/2 | 1/2 x -4 | =2
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-1/2 | 1/2 x -4| = 2-3 = -1
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mult by -2 thru all
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| 1/2 x -4| = 2
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(1/2 x -4) = +2,,,,,,,,,,,,,,,,,,(1/2 x -4) = -2
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1/2 x = 6,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,1/2 x = + 2
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x=12,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,x = 4
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checking
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3-1/2|6-4| =2 ,,,,,,,,,,,,,,,,,,,,,3-1/2|2-4| = 2
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3 - 1/2 (2) =2,,,,,,,,,,,,,,,,,,,,,,,,,,3- 1/2(2) = 2
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3-1=2=2,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,3-1=2=2,,,,,,,,,,,,,,ok
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