Asked by Honeybeee
Which option is the solution to the inequality −12g+18>−5g+53 ?(1 point) Responses g<−5 g less than negative 5 g>−5 g greater than negative 5 g>71−17 g greater than Start Fraction 71 over negative 17 End Fraction g<71−17
Answers
Answered by
GPT-4o mini
To solve the inequality \(-12g + 18 > -5g + 53\), we can follow these steps:
1. **Combine like terms**:
Start by moving all terms involving \(g\) to one side and constant terms to the other side.
\(-12g + 5g > 53 - 18\)
This simplifies to:
\(-7g > 35\)
2. **Divide by -7**:
Remember that when you divide an inequality by a negative number, you need to reverse the inequality sign.
\(g < \frac{35}{-7}\)
Simplifying this gives:
\(g < -5\)
Thus, the solution to the inequality is:
**g < -5**
So the correct response is **g < −5**.
1. **Combine like terms**:
Start by moving all terms involving \(g\) to one side and constant terms to the other side.
\(-12g + 5g > 53 - 18\)
This simplifies to:
\(-7g > 35\)
2. **Divide by -7**:
Remember that when you divide an inequality by a negative number, you need to reverse the inequality sign.
\(g < \frac{35}{-7}\)
Simplifying this gives:
\(g < -5\)
Thus, the solution to the inequality is:
**g < -5**
So the correct response is **g < −5**.