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

?(1 point)
Responses

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

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

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

4, 5, and 6
pick one

1 answer

To solve the inequality \(60g > 3 \times 5\), we first calculate \(3 \times 5\):

\[ 3 \times 5 = 15 \]

So, our inequality becomes:

\[ 60g > 15 \]

Next, we divide both sides by 60 to isolate \(g\):

\[ g > \frac{15}{60} \]

Simplifying \(\frac{15}{60}\):

\[ g > \frac{1}{4} \]

Now we need to determine which of the provided sets contains numbers greater than \(\frac{1}{4}\):

  • Set 1: 2, 3, and 4 (all are greater than \(0.25\))
  • Set 2: 1, 2, and 3 (1 is not greater than \(0.25\))
  • Set 3: 3, 4, and 5 (all are greater than \(0.25\))
  • Set 4: 4, 5, and 6 (all are greater than \(0.25\))

The correct answers are:

  • Set 1: 2, 3, and 4
  • Set 3: 3, 4, and 5
  • Set 4: 4, 5, and 6

Since you need to pick only one, you can choose Set 1 (2, 3, and 4) as it contains numbers that are all solutions to the inequality.