Final answer:
The inequality for the maximum number of video games Jasmine can buy with her remaining savings after purchasing movies is 43x ≤ 1,056, where 'x' represents the number of video games. She can buy up to 24 video games.
Step-by-step explanation:
The question is asking for an inequality that represents the maximum number of video games Jasmine can buy with her savings after purchasing movies. To solve this, we consider Jasmine's total savings of $1,128 and subtract the total price of the movies she already bought, which is $72. This leaves us with $1,128 - $72 = $1,056 for video games. Since each video game costs $43, we can represent the number of video games she can buy as 'x'. Thus, the inequality we need is 43x ≤ 1,056.
This inequality states that the cost of 'x' number of video games, at $43 each, should be less than or equal to the remaining amount of money Jasmine has after buying movies. To find the maximum number of video games she can buy, we divide the remaining amount by the price per video game: $1,056 ÷ $43 ≈ 24. Therefore, Jasmine can buy a maximum of 24 video games.