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Svet_ta [14]
3 years ago
9

How do you solve |x-5|

="latex-formula">3

Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

Answer:

x ≥ 8 or x ≤ 2

Step-by-step explanation:

(see attached graphic for reference)

|x-5| ≥ 3   (expand absolute value expression)

(x-5) ≥ 3

x ≥ 3 + 5

x ≥ 8  (first answer)

or

(x-5) ≤ -3

x ≤ -3 + 5

x ≤ 2 (second answer)

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-3/v=-6 simply as much as possible
Aleksandr [31]
Hey!


In order to simplify this equation, we'll first have to multiply both sides of the equation by v. This will give us v on its own.

<em>Original Equation :</em>
\frac{-3}{v} = -6

<em>New Equation {Added Multiply Both Sides by V} :</em>
\frac{-3}{v} v=-6v

<em>Solution {New Equation Solved} :</em>
-3 = -6v

Now we'll switch sides to get v on the left side of the equation which is generally where we always want the variables to be located in these types of equations.

<em>Old Equation :</em>
-3 = -6v

<em>New Equation {Switched} :</em>
-6v=-3

Now we'll divide both sides by v to get v on its own.

<em>Old Equation :</em>
-6v = -3

<em>New Equation {Added Divide Both Sides by V} :</em>
\frac{-6v}{v} = \frac{-3}{v}

<em>Solution {New Equation Solved} :</em>
v =  \frac{1}{2}

<em>So, this means that in the equation \frac{-3}{v} =-6,</em>  v =  \frac{1}{2}.

Hope this helps!


- Lindsey Frazier ♥
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