Answer:
x > - 3
Step-by-step explanation:
x + 2[tex]\frac{1}{2}[/tex] > - [tex]\frac{1}{2}[/tex] First turn 2[tex]\frac{1}{2}[/tex] into an fraction since its easier. So it becomes [tex]\frac{5}{2}[/tex]
x + [tex]\frac{5}{2}[/tex] > - [tex]\frac{1}{2}[/tex]
- [tex]\frac{5}{2}[/tex] - [tex]\frac{5}{2}[/tex] Do inverse operations, so subtract [tex]\frac{5}{2}[/tex] from both sides.
x > - [tex]\frac{6}{2}[/tex] Combine - [tex]\frac{5}{2}[/tex] with - [tex]\frac{1}{2}[/tex], which gives us - [tex]\frac{6}{2}[/tex]
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
