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 pass his goal?
The inequality that represents this situation is:
(9 - 2/3x) ≥ x
where x represents the number of sessions Andre still needs to practice to reach or pass his goal.
an inequality that makes sense
Let's assume that Andre practices 'x' sessions (hours) more to reach or pass his goal.
Given that each practice session is 2/3 hour, the total time spent practicing additional sessions would be:
x * (2/3) hours
Andre has already practiced 2 hours this week, so the total time spent practicing so far is:
2 + x * (2/3) hours
Andre wants to practice 9 hours a week, so the inequality representing this situation would be:
2 + x * (2/3) ≥ 9