In which of the following sets of numbers are all the numbers solutions to 60g>3×5?

1 answer

There are multiple sets of numbers that could be solutions to 60g>3×5, but we can determine which ones are definitely solutions by dividing both sides of the inequality by 60:

60g > 3×5

g > 0.25

Therefore, any number greater than 0.25 is a solution to the inequality. So, which sets of numbers contain only values greater than 0.25?

A) {1, 2, 3, 4, 5}
- Not all numbers in this set are greater than 0.25, so it is not a solution.

B) {0.3, 0.4, 0.5, 0.6}
- All numbers in this set are greater than 0.25, so it is a solution.

C) {0.2, 0.25, 0.3, 0.35}
- Only some of the numbers in this set are greater than 0.25, so it is not a solution.

D) {0.25, 0.26, 0.27, 0.28}
- Only some of the numbers in this set are greater than 0.25, so it is not a solution.

Therefore, the set of numbers that are solutions to the inequality 60g>3×5 is B) {0.3, 0.4, 0.5, 0.6}.