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Question

Marcus’s mom lets him play video games for a certain amount of time each day. He has already spent 9 minutes playing video games and has fewer than 27 minutes left to play. The inequality

t – 9 < 27 can be used to determine the number of minutes Marcus has left to play video games.

Which number line best represents the solution to the inequality?
Responses
A Image with alt text:
B Image with alt text:
C Image with alt text:
D Image with alt text:
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1 answer

In order to determine the best representation of the solution to the inequality t - 9 < 27, we need to consider the values that satisfy the inequality.

If we add 9 to both sides of the inequality, we get t < 36. This means that any value of t that is less than 36 satisfies the inequality.

Therefore, the number line should start at 0 and go up to 36, but values greater than or equal to 36 should be excluded.

Out of the given options, the number line that best represents this solution is:
B) Image with alt text.