Question

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?

Answer 1

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, the total number of hours Andre still needs to practice to reach or surpass his goal can be represented by the inequality:

(9 - 2) > (2/3)x

Simplifying this inequality further:

7 > (2/3)x

Thus, Andre still needs to practice more than 7 sessions (x) to reach or surpass his goal.