Question

Which of the following sets of numbers are all solutions of g+3<455
?(1 point)
Responses

6, 7, and 8
6, 7, and 8

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

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

7, 8, and 9

Answer 1

To determine which of the sets of numbers are all solutions of the inequality \( g + 3 < 455 \), we first solve the inequality for \( g \).

Subtract 3 from both sides:

\[
g < 455 - 3
\]
\[
g < 452
\]

This means that any number less than 452 is a solution.

Now let's examine each set of responses:

1. **6, 7, and 8**:
- All numbers are less than 452.
- (Yes, all are solutions)

2. **3, 4, and 5**:
- All numbers are less than 452.
- (Yes, all are solutions)

3. **4, 5, and 6**:
- All numbers are less than 452.
- (Yes, all are solutions)

4. **7, 8, and 9**:
- All numbers are less than 452.
- (Yes, all are solutions)

Since all numbers in each set are less than 452, all of the given sets (1, 2, 3, and 4) are solutions of the inequality \( g + 3 < 455 \).

If you are looking for which set is an example of a solution, all the provided responses are valid.