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joja [24]
3 years ago
13

What value of x is in the solution set of 3(x – 4) ≥ 5x + 2?

Mathematics
2 answers:
alisha [4.7K]3 years ago
7 0
Hey!


To start solving equation, we should first distribute the parenthesis. We do this so that we can get rid of the parenthesis.

<em>Original Equation :</em>
3 ( x - 4 ) ≥ 5x + 2

<em>New Equation {Changed by Distribution} :</em>
3x - 12 ≥ 5x + 2

Next, we'd add 12 to both sides of the equation to get rid of the 12 on the left side of the equation.

<em>Old Equation :</em>
3x - 12 ≥ 5x + 2

<em>New Equation {Changed by Adding 12 to Both Sides} :</em>
3x ≥ 5x + 14

Now we subtract 5x from both sides of the equation to get rid of the 5x from the right side.

<em>Old Equation :</em>
3x ≥ 5x + 14

<em>New Equation {Changed by Subtracting 5x From Both Sides} :</em>
-2x ≥ 14

Now we must inverse the inequality. To do that we multiply both sides by -1.

<em>Old Equation :</em>
-2x ≥ 14

<em>New Equation {Changed by Inverse} :</em>
2x ≤ -14

Just by looking at the equation, you can easily tell that it needs to be simplified. So, that's what we'll do next.

<em>Old Equation :</em>
2x ≤ -14

<em>New Equation {Changed by Dividing Both Sides by Two} :</em>
x ≤ -7

Seeing as the equation cannot be simplified any further, we have our answer.
<em>The value of x in the inequality </em><span><em>of 3 ( x – 4 ) ≥ 5x + 2, is </em> x </span>≤ -7.

Hope this helps!


- Lindsey Frazier ♥
belka [17]3 years ago
5 0

Answer:

x \leq -7

(-∞, -7)

Step-by-step explanation:

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