Answer:
![\displaystyle \large \boxed{y < 5}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%20%5Cboxed%7By%20%3C%205%7D)
Step-by-step explanation:
We are given the Inequality:
![\displaystyle \large{ \frac{2y}{2} < \frac{10}{2} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Cfrac%7B2y%7D%7B2%7D%20%20%3C%20%20%5Cfrac%7B10%7D%7B2%7D%20%7D)
First, we can simplify the expression. On the left side of Inequality, we can cancel 2; on the right side, we can cancel 2 out as well.
Simply, division!
![\displaystyle \large{ \frac{ \cancel{2}y}{ \cancel{2}} < \frac{ \cancel{10}}{ \cancel{2} }}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Cfrac%7B%20%5Ccancel%7B2%7Dy%7D%7B%20%5Ccancel%7B2%7D%7D%20%20%3C%20%20%5Cfrac%7B%20%5Ccancel%7B10%7D%7D%7B%20%5Ccancel%7B2%7D%20%7D%7D)
2 divides 2 is 1; 2 divides 10 is 5.
![\displaystyle \large{ \frac{1y}{1} < \frac{ 5}{ 1}}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20%5Cfrac%7B1y%7D%7B1%7D%20%20%3C%20%20%5Cfrac%7B%205%7D%7B%201%7D%7D)
Generally, it is not recommended to write 1 beside the variable nor write 1 as a denominator.
Simplify the expression:-
![\displaystyle \large{ y < 5}](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20%5Clarge%7B%20y%20%20%3C%20%205%7D)
Therefore, the value of y is less than 5.
Let me know if you have any questions after reading the explanation!