Question
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
Answers
GPT 3.5
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.
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.