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Anettt [7]
2 years ago
7

Solve this inequality: 3q + 11 + 8q > 99. A. q > 8 B. q > 1/8 C. q > 88 D. q > 11

Mathematics
1 answer:
elixir [45]2 years ago
3 0
Hey!


To solve this problem we must first group like terms.

<em>Original Equation :</em>
3q + 11 + 8q <span>> 99

<em>New Equation {Grouped Like Terms} :</em>
3q + 8q + 11 </span><span>> 99

Now, we'll add our similar elements.

<em>Old Equation :</em>
3q + 8q + 11 </span><span>> 99

<em>New Equation {Added Similar Elements} :</em>
11q + 11 </span><span>> 99

Next, we'll have to change the equation. To do this we'll add minus eleven to both sides of the equation. This will give us eleven q on its own.

<em>Old Equation :</em>
11q + 11 </span><span>> 99

<em>New Equation {Added Subtract 11 to Both Sides} :</em>
11q + 11 - 11 </span><span>> 99 - 11

Now we simplify. 

<em>Old Equation :</em>
11q + 11 - 11 </span><span>> 99 - 11

<em>New Equation {Old Equation Simplified} :</em>
11q </span><span>> 88

Now, we'll have to divide both sides by eleven. We do this so as to get the variable ( q ) on its own.

<em>Old Equation :</em>
11q </span><span>> 88

<em>New Equation {Added Divide Both Sides by 11} :</em>
</span>\frac{11q}{11} > \frac{88}{11}

Once again, we now have to simplify.

<em>Old Equation :</em>
\frac{11q}{11} > \frac{88}{11}

<em>New Equation {Old Equation Simplified} :</em>
q > 8

<em>So, this means that the solution to the inequality given </em><em>is </em> q > 8.

Hope this helps!


- Lindsey Frazier ♥
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