Marcus mom let’s 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

Question

Marcus mom let’s 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

Answer 1

Since the inequality is t-9<27, we can add 9 to both sides to isolate t:

t < 36

Thus, Marcus has less than 36 minutes left to play. The number line that best represents this solution is one that starts at 0 and ends at 36, with an open circle at 36 to show that Marcus cannot play for exactly 36 minutes. The line should be shaded to the left of 36 to show all the possible values of t that satisfy the inequality.