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
To solve the inequality 60g > 3 × 5, we can simplify the right side first: 3 × 5 = 15. Then we can divide both sides by 60 to get g by itself:
60g > 15
g > 15/60
g > 1/4
So any number greater than 1/4 will be a solution to the inequality.
Out of the given sets of numbers, only set 3, with numbers 4, 5, and 6, contains numbers greater than 1/4. Therefore, the answer is set 3.
To determine which set of numbers are solutions to the inequality 60g > 3 × 5, we need to solve the inequality.
First, let's simplify the right side of the inequality by calculating 3 × 5, which equals 15.
Now we have the inequality 60g > 15. To solve for g, we need to divide both sides of the inequality by 60.
Dividing both sides by 60, we get g > 15/60. Simplifying the right side, we find g > 1/4.
So, any number greater than 1/4 will be a solution to the inequality. Now let's check each set of numbers to see if they are solutions.
For the first set of numbers (1, 2, and 3), none of these numbers are greater than 1/4. Thus, this set is not a solution to the inequality.
For the second set of numbers (2, 3, and 4), all of these numbers are greater than 1/4. Thus, this set is a solution to the inequality.
For the third set of numbers (4, 5, and 6), all of these numbers are greater than 1/4. Thus, this set is also a solution to the inequality.
For the fourth set of numbers (3, 4, and 5), all of these numbers are greater than 1/4. Thus, this set is a solution to the inequality as well.
Therefore, the answer is:
2, 3, and 4
4, 5, and 6
3, 4, and 5
To determine which set of numbers are all solutions to the inequality 60g > 3 × 5, we need to solve the inequality and check each set of numbers.
First, let's solve the inequality:
60g > 3 × 5
Multiplying 3 and 5, we get:
60g > 15
To isolate g, we divide both sides of the inequality by 60:
g > 15/60
Simplifying the fraction, we have:
g > 1/4
Now, let's check each set of numbers to see which ones are all greater than 1/4:
1) Set: 1, 2, and 3
Checking each number:
1 > 1/4 (True)
2 > 1/4 (True)
3 > 1/4 (True)
All the numbers in this set are greater than 1/4, so it is a solution.
2) Set: 2, 3, and 4
Checking each number:
2 > 1/4 (True)
3 > 1/4 (True)
4 > 1/4 (True)
All the numbers in this set are greater than 1/4, so it is also a solution.
3) Set: 4, 5, and 6
Checking each number:
4 > 1/4 (True)
5 > 1/4 (True)
6 > 1/4 (True)
All the numbers in this set are greater than 1/4, so it is also a solution.
4) Set: 3, 4, and 5
Checking each number:
3 > 1/4 (True)
4 > 1/4 (True)
5 > 1/4 (True)
All the numbers in this set are greater than 1/4, so it is also a solution.
Therefore, all the sets of numbers provided are solutions to the inequality 60g > 3 × 5.