Solve this inequality: 3q + 11 + 8q > 99. A. q > 8 B. q > 1/8 C. q > 88 D. q > 11
1 answer:
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>
> 
Once again, we now have to simplify.
<em>Old Equation :</em>
> 
<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 ♥
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>
Once again, we now have to simplify.
<em>Old Equation :</em>
<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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3. (12s)+150 where s=number of students
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9. √105 is irrational, -4 is an integer, 4/3 is a rational number, order is -4,3/4, √105
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11. that is the associative property, it deals with moving parentahees around
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