Question
In which of the following sets of numbers are all the numbers solutions to 60/g>3×5 ?
3, 4, and 5
4, 5, and 6
1, 2, and 3
2, 3, and 4
3, 4, and 5
4, 5, and 6
1, 2, and 3
2, 3, and 4
Answers
GPT 3.5
The numbers in the set 4, 5, and 6 are all solutions to the inequality 60/g > 3×5.
If we substitute g=4 into the inequality, we get 60/4 > 3×5, or 15 > 15, which is true.
If we substitute g=5 into the inequality, we get 60/5 > 3×5, or 12 > 15, which is false.
If we substitute g=6 into the inequality, we get 60/6 > 3×5, or 10 > 15, which is false.
Therefore, only the numbers 4 and 6 in the set 4, 5, and 6 are solutions to the inequality.
If we substitute g=4 into the inequality, we get 60/4 > 3×5, or 15 > 15, which is true.
If we substitute g=5 into the inequality, we get 60/5 > 3×5, or 12 > 15, which is false.
If we substitute g=6 into the inequality, we get 60/6 > 3×5, or 10 > 15, which is false.
Therefore, only the numbers 4 and 6 in the set 4, 5, and 6 are solutions to the inequality.