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.
Original Inequality :
x - 15 ≥ 8
New Inequality {Added Plus 15 to Both Sides} :
x - 15 + 15 ≥ 8 + 15
Now we simplify the equation by solving -15 + 15 and 8 + 15.
Old Inequality :
x - 15 + 15 ≥ 8 + 15
New Inequality {Old Inequality Simplified} :
x ≥ 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 → x ≥ 23
Interval Notation → [ 23, ∞ )
Below, I have also attached a graph that shows how this inequality should be graphed.
Hope this helps!
- Lindsey Frazier ♥
