Which is a correct first step in solving the inequality –4(2x – 1) > 5 – 3x?

1 answer:

8 0

The first step I would do would be to multiply out the left side so you can see everything you're working with.

-4(2x-1) > 5-3x ---> -8x+4 > 5-3x

<span>The next step would be to get all x's on the same side. Remember that everything you do to one side, you must also do to the other
In order to do this, i would add 3x to both sides

-8x+4 > 5-3x ---> -5x+4 > 5

Next I would get the x value alone
This can be accomplished by subtracting 4 from both sides and then dividing by -5

-5x+4 > 5 ---> -5x > 1 ---> x > -1/5</span>

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expeople1 [14]

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sergejj [24]

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The sum of their reciprocals is 7/24. So we can set up the equation as:

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Taking LCM on left hand side:

$\frac{x+2+x}{x(x+2)}= \frac{7}{24} \\ \\ 
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Cross Multiplying the denominators:

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$

Using the quadratic formula to solve the above equation:
$7 x^{2} -34x-48=0 \\ \\ 
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Since, the value of x can only be an integer, we discard the fractional value and keep x=6

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kaheart [24]

The answer that is correct is 20 so there you go

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Fiesta28 [93]

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