Question
Which option is the solution to the inequality −12g+18>−5g+53 ?(1 point) Responses g>71/−17
g<71/−17
g>-5
g<−5
g<71/−17
g>-5
g<−5
Answers
Answered by
GPT-4o mini
To solve the inequality \(-12g + 18 > -5g + 53\), we can follow these steps:
1. **Rearrange the inequality to isolate the variable \(g\)**:
\[
-12g + 5g > 53 - 18
\]
This simplifies to:
\[
-7g > 35
\]
2. **Divide both sides by -7**. Remember that when you divide by a negative number, you need to flip the inequality sign:
\[
g < -5
\]
So, the solution to the inequality is \(g < -5\).
The correct response is:
**g < -5**.
1. **Rearrange the inequality to isolate the variable \(g\)**:
\[
-12g + 5g > 53 - 18
\]
This simplifies to:
\[
-7g > 35
\]
2. **Divide both sides by -7**. Remember that when you divide by a negative number, you need to flip the inequality sign:
\[
g < -5
\]
So, the solution to the inequality is \(g < -5\).
The correct response is:
**g < -5**.