Answer:
![x>22.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nt4dqgfku4gzze575z4tmijr4si1sfj9yy.png)
Explanation:
Given linear inequality:
![2x+5>50](https://img.qammunity.org/2020/formulas/mathematics/middle-school/o21u8arcow3ha2mcnuipvd7mgiv7z7tz58.png)
Solving for
![x](https://img.qammunity.org/2020/formulas/mathematics/middle-school/k3ozza40nv61jy1offmxaxutrb6y1c3ly5.png)
Subtracting both sides by 5.
![2x+5-5>50-5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/y6zz5u7y6wuxvexw69n1431aaks1zx25ra.png)
![2x>45](https://img.qammunity.org/2020/formulas/mathematics/middle-school/yjyujp7eytlqb4q0thwl9grtvvgep2854c.png)
Dividing both sides by 2.
![(2x)/(2)>(45)/(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/okm0529d0nx8fh0cifqfhslbs6y3ufsj57.png)
∴
![x>22.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/nt4dqgfku4gzze575z4tmijr4si1sfj9yy.png)
The graph of the inequality is shown below.
The line is represented by dotted line because the inequality sign is only greater than which means 22.5 is not included in the solution.