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 23 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

Let x be the number of sessions Andre still needs to practice to reach or surpass his goal.

Andre has practiced for a total of 2 + x * 2 = 2x + 2 hours.

To reach or surpass his goal, Andre needs to practice for 9 hours a week, so the inequality is:

2x + 2 ≥ 9.

Simplifying the inequality, we get:

2x ≥ 7.

Dividing both sides by 2, we get:

x ≥ 7/2.

Andre still needs to practice for at least 7/2 sessions, or 3.5 sessions, to reach or surpass his goal.