<u>Answer:</u>
![\boxed{\textsf {\textbf{The amount returned by the shopkeeper is \$ 50 - x .}}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctextsf%20%7B%5Ctextbf%7BThe%20amount%20returned%20by%20the%20shopkeeper%20is%20%5C%24%2050%20-%20x%20.%7D%7D%7D)
<u>Step-by-step explanation:</u>
Given that I buy a video game and pay $ 50 to the shopkeeper . And we need to find the expression how much change should I receive .
So , let us take that the video game costs x . There can be two cases .
<u>★</u><u> </u><u>Case </u><u>1</u><u> </u><u>:</u><u>-</u><u> </u>
When the cost of the product is same as the amount given . When the cost of the video game is $50 then the shopkeeper will give us no change .
![\boxed{\red{\sf Returned\ change = \$ 0 }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cred%7B%5Csf%20Returned%5C%20change%20%3D%20%5C%24%200%20%7D%7D)
<u>★</u><u> </u><u>Case </u><u>2</u><u> </u><u>:</u><u>-</u><u> </u>
When the cost of the video game is less than $50 then the shopkeeper will return us some change that is equal to the difference if the amount given to shopkeeper and the cost of the video game .
If the cost of the video game is x , then the amount given to us by the the shopkeeper will be ,
![\boxed{\red{\sf Returned\ change = \$ 50 - x }}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cred%7B%5Csf%20Returned%5C%20change%20%3D%20%5C%24%2050%20-%20x%20%7D%7D)