Writing inequality to represent real word solution. Andre wants to practice the piano nine hours a week each time he practices he practices for 2/3 of an hour if he has already practiced two hours this week how many sessions X does he still need to practice to reach or surpass his goal

Answer 1

Let X represent the number of sessions Andre still needs to practice.

Total time Andre has already practiced = 2 hours

Total time Andre wants to practice = 9 hours

Each session Andre practices for 2/3 of an hour.

To find the total time Andre still needs to practice, we can subtract the time he already practiced from his goal:

(Time Andre wants to practice) - (Time Andre already practiced) ≥ (Time Andre still needs to practice)

9 - 2 ≥ (X × 2/3)

7 ≥ 2X/3

Multiply both sides by 3:

3 * 7 ≥ 2X

21 ≥ 2X

Therefore, Andre still needs to practice at least 11 sessions in order to reach or surpass his goal.