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

A. X ≤ 12
B. X ≤ -12
C. X ≥ 15
D.X ≥ -1

1 answer

Let's say the number of video games in Mark's collection is x.

Since the number of video games in Anson's collection is 5 times the number in Mark's collection, the number of video games in Anson's collection can be represented by 5x.

The total number of video games is no more than 72, so we have the inequality:

x + 5x ≤ 72.

Simplifying, we get:

6x ≤ 72.

Dividing both sides by 6, we get:

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 A. X ≤ 12.
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