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stiv31 [10]
3 years ago
9

Solve |2x - 5| = 4 someone help

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0

\text{Solve the absolute value, remember, there are two answers/outcomes}\\\\\text{First outcome:}\\\\2x - 5 = 4\\\\\text{Solve:}\\\\2x - 5 = 4\\\\\text{Add 5 to both sides}\\\\2x=9\\\\\text{Divide by 2}\\\\\boxed{x=\frac{9}{2}}\\\\\text{Second outcome:}\\\\2x - 5 = -4\\\\\text{Add 5 to both sides}\\\\2x=1\\\\\text{Divide by 2}\\\\\boxed{x=\frac{1}{2}}

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Answer:

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Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

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The difference is ...

  \dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}

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<em>Additional comment</em>

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

  5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

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Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

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Solve for the exact value of x.
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