Solve Inequalities Quick Check

Question

5 of 55 of 5 Items
Question
In which of the following sets of numbers are all the numbers solutions to 60g>3×5 ?(1 point)
Responses

1, 2, and 3
1, 2, and 3

2, 3, and 4
2, 3, and 4

4, 5, and 6
4, 5, and 6

3, 4, and 5
3, 4, and 5

Answer 1

To solve the inequality 60g > 3 × 5, we can simplify it by multiplying 3 and 5, which gives us 15. The inequality then becomes 60g > 15.

To solve for g, we divide both sides of the inequality by 60:

(60g)/60 > 15/60
g > 1/4

So, any number greater than 1/4 is a solution to the inequality.

Among the given sets of numbers, the set 4, 5, and 6 contains all numbers greater than 1/4. Thus, the correct answer is:

4, 5, and 6.