in which of the following sets of the numbers are all the numbers are all the number solutions to 60/g > 3 x 5?

Answer 1

The solutions to the inequality 60/g > 3 x 5 can be found by solving for g:

60/g > 3 x 5
60/g > 15
g < 60/15
g < 4

So, the solutions to the inequality are all the numbers that are less than 4.

Therefore, in the following sets of numbers, all the numbers are solutions to the inequality 60/g > 3 x 5:

1) {1, 2, 3}
2) {0, 2, 3}
3) {-1, -2, -3}

Answer 2

in which of the following sets of the numbers are all the numbers are all the number solutions to 60/g > 3 x 5?
2,3, and 4
1,2, and 3
3,4, and 5
4, 5, and 6

Answer 3

To find which sets of numbers are all solutions to the inequality 60/g > 3 x 5, we can substitute each set of numbers into the inequality and check.

1) For {2, 3, 4}:
When g = 2: 60/2 = 30, which is greater than 15. It satisfies the inequality.
When g = 3: 60/3 = 20, which is greater than 15. It satisfies the inequality.
When g = 4: 60/4 = 15, which is equal to 15. It does not satisfy the inequality.

Therefore, {2, 3, 4} is not a set where all numbers are solutions to the inequality.

2) For {1, 2, 3}:
When g = 1: 60/1 = 60, which is greater than 15. It satisfies the inequality.
When g = 2: 60/2 = 30, which is greater than 15. It satisfies the inequality.
When g = 3: 60/3 = 20, which is greater than 15. It satisfies the inequality.

Therefore, {1, 2, 3} is a set where all numbers are solutions to the inequality.

3) For {3, 4, 5}:
When g = 3: 60/3 = 20, which is greater than 15. It satisfies the inequality.
When g = 4: 60/4 = 15, which is equal to 15. It does not satisfy the inequality.
When g = 5: 60/5 = 12, which is less than 15. It does not satisfy the inequality.

Therefore, {3, 4, 5} is not a set where all numbers are solutions to the inequality.

4) For {4, 5, 6}:
When g = 4: 60/4 = 15, which is equal to 15. It does not satisfy the inequality.
When g = 5: 60/5 = 12, which is less than 15. It does not satisfy the inequality.
When g = 6: 60/6 = 10, which is less than 15. It does not satisfy the inequality.

Therefore, {4, 5, 6} is not a set where all numbers are solutions to the inequality.

Therefore, only {1, 2, 3} is a set where all numbers are solutions to the inequality 60/g > 3 x 5.