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 x is greater than or equal to negative 1 Skip to navigation

Answer 1

Let's use the information given in the problem to set up an equation.

The number of video games in Mark's collection can be represented by x.
The number of video games in Anson's collection is 5 times the number in Mark's collection, so it would be 5x.
The total number of video games is no more than 72, which can be represented as x + 5x ≤ 72.

Now we can simplify the equation:
6x ≤ 72
Divide both sides of the equation by 6 to isolate x:
x ≤ 12

Therefore, the solution set for x, the number of video games in Mark's collection, is x ≤ 12.

So the answer is x≤12 (option 1).