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-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

3 answers

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: \(g > 0\)

-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

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: \(g > 0\)