In which of the following sets of numbers are all the numbers solutions to 60/g>3×5?(1 point)%0D%0AResponses%0D%0A%0D%0A4, 5, and 6%0D%0A4, 5, and 6%0D%0A%0D%0A3, 4, and 5%0D%0A3, 4, and 5%0D%0A%0D%0A2, 3, and 4%0D%0A2, 3, and 4%0D%0A%0D%0A1, 2, and 3
To find the set of numbers that are solutions to the inequality 60/g > 3 × 5, we need to simplify the inequality and solve it for g.
First, let's simplify the right side of the inequality: 3 × 5 = 15.
The inequality now becomes 60/g > 15.
To isolate g on one side of the inequality, we can multiply both sides of the inequality by g (we need to be careful since g can be positive or negative):
60 > 15g.
Now, let's divide both sides of the inequality by 15:
4 > g.
This means that g is less than 4.
Therefore, the set of numbers that are solutions to 60/g > 3 × 5 is {1, 2, 3}.