Write an inequality to represent this real-world situation. Andre wants to practice the piano 9 hours a week. Each time he practices he practices for 2/3 hour. If he has already practiced 2 hours this week, how many sessions, x , does he still need to practice to reach or surpass his goal?
Let's represent the total number of sessions Andre still needs to practice as x.
Since Andre practices for 2/3 of an hour each session, the total time he needs to practice in hours is given by:
Total time = x * (2/3)
Andre's goal is to practice 9 hours a week, so the inequality to represent this situation is:
x * (2/3) ≥ 9 - 2
Simplifying the right side of the equation:
x * (2/3) ≥ 7
Thus, the inequality representing this real-world situation is:
(2/3)x ≥ 7