Mark and Anson each have a video game collection. The number of video games in Mark collection can be represented by x. The number of video games in Anson collection is 5 times the number in Mark collection. The total number of video games is no more than 72. What is the solution set for x, the number of video games in Mark’s collection? (1 point) Responses x≤12 x is less than or equal to 12 x≤−12 x is less than or equal to negative 12 x≥15 x is greater than or equal to 15 x≥−1

1 answer

Since the number of video games in Anson's collection is 5 times the number in Mark's collection, we can represent the number of video games in Anson's collection as 5x.
Together, Mark and Anson's collections have x + 5x = 6x video games.
The problem states that the total number of video games is no more than 72, so we can set up the inequality 6x ≤ 72.
Dividing both sides of the inequality by 6, we have x ≤ 12.
Therefore, the solution set for x, the number of video games in Mark's collection, is x ≤ 12.
So, the correct answer is x ≤ 12.
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