Hey!
The first step to solving this inequality is to add 15 to both sides. We do this so as to get the variable ( x ) on its own. This can also be known as simplifying the inequality.
<em>Original Inequality :</em>
x - 15 <span>≥ 8
<em>New Inequality {Added Plus 15 to Both Sides} :</em>
x - 15 + 15 </span><span>≥ 8 + 15
Now we simplify the equation by solving -15 + 15 and 8 + 15.
<em>Old Inequality :</em>
x - 15 + 15 </span><span>≥ 8 + 15
<em>New Inequality {Old Inequality Simplified} :</em>
x </span><span>≥ 23
Now, that is, in fact, the solution but since I'm not sure which form you need, I've written it in other forms as well.
Solution </span>→
x <span>
≥ 23Interval Notation </span>→
[ 23, ∞ )
Below, I have also attached a graph that shows how this inequality should be graphed.
Hope this helps!
- Lindsey Frazier ♥