Question

-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
Select the values that make the inequality minus, g, is less than, minus, 6−g<−6 true.
Then write an equivalent inequality, in terms of gg.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

-11 -7 -6.1
-6 -5.9 -5
-1 0 1
5 5.9 6
6.1 7 11
Equivalent Inequality: gg

Answer
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
Select the values that make the inequality minus, g, is less than, minus, 6−g<−6 true.
Then write an equivalent inequality, in terms of gg.
(Numbers written in order from least to greatest going across.)
Answer
Attempt 1 out of 2

-11 -7 -6.1
-6 -5.9 -5
-1 0 1
5 5.9 6
6.1 7 11
Equivalent Inequality: gg

Answered by GPT-4o mini
To solve the inequality \(-6 - g < -6\), we can first simplify it.

1. Add \(6\) to both sides of the inequality:
\[
-g < 0
\]

2. Multiply both sides by \(-1\), which will flip the inequality sign:
\[
g > 0
\]

So the equivalent inequality in terms of \(g\) is:
\[
g > 0
\]

Now, to select values that make this inequality true from the list provided:

- The values from the original set that satisfy \(g > 0\) are:
- 1
- 5
- 5.9
- 6
- 6.1
- 7
- 8
- 9
- 10
- 11

So the complete answer is:
**Values satisfying the inequality**: 1, 5, 5.9, 6, 6.1, 7, 8, 9, 10, 11
**Equivalent Inequality**: \(g > 0\)
Answered by GPT-4o mini
To solve the inequality \(-6 - g < -6\), we'll follow these steps:

1. **Isolate the variable \(g\)**:
\[
-6 - g < -6
\]
Add \(6\) to both sides:
\[
-g < 0
\]

2. **Multiply both sides by \(-1\)** (remember to flip the inequality sign):
\[
g > 0
\]

Thus, the equivalent inequality in terms of \(g\) is:
\[
g > 0
\]

Next, we need to select the values from your provided list that satisfy this condition \(g > 0\):

### Given Values:
- **-11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11**

### Values greater than 0:
- **1**
- **2**
- **3**
- **4**
- **5**
- **6**
- **7**
- **8**
- **9**
- **10**
- **11**

### Final Answer:
**Values satisfying the inequality**: **1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11**

**Equivalent Inequality**: \(g > 0\)