Hey!
To solve this problem we must first group like terms.
Original Equation :3q + 11 + 8q
> 99
New Equation {Grouped Like Terms} :
3q + 8q + 11 > 99
Now, we'll add our similar elements.
Old Equation :
3q + 8q + 11 > 99
New Equation {Added Similar Elements} :
11q + 11 > 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.
Old Equation :
11q + 11 > 99
New Equation {Added Subtract 11 to Both Sides} :
11q + 11 - 11 > 99 - 11
Now we simplify.
Old Equation :
11q + 11 - 11 > 99 - 11
New Equation {Old Equation Simplified} :
11q > 88
Now, we'll have to divide both sides by eleven. We do this so as to get the variable ( q ) on its own.
Old Equation :
11q > 88
New Equation {Added Divide Both Sides by 11} :
>
Once again, we now have to simplify.
Old Equation :
>
New Equation {Old Equation Simplified} :
q > 8
So, this means that the solution to the inequality given is q > 8.
Hope this helps!
- Lindsey Frazier ♥