Final answer:
The inequality that represents how long Jenny must work to purchase her new video game at $6 per hour to earn at least $50 is 6h ≥ 50.
Step-by-step explanation:
Jenny earns $6 per hour of cat sitting and wants to earn at least $50 to buy a new video game. To represent the amount of time Jenny needs to work to afford the video game, we need to set up an inequality. The inequality that correctly represents this scenario is 6h ≥ 50, where h stands for the number of hours Jenny needs to work. This inequality means that Jenny must work for a number of hours such that when multiplied by her hourly rate ($6/hour), the total earnings are greater than or equal to $50.
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