Question

Which option is the solution to the inequality −12g+18>−5g+53 ?(1 point)
Responses

g<−5
g less than negative 5

g>71−17
g greater than Start Fraction 71 over negative 17 End Fraction

g>−5
g greater than negative 5

g<71−17

Answer 1

To solve the inequality \(-12g + 18 > -5g + 53\), follow these steps:

1. **Combine like terms**:
\[
-12g + 5g > 53 - 18
\]
This simplifies to:
\[
-7g > 35
\]

2. **Divide both sides by -7** (remember to reverse the inequality sign when dividing by a negative number):
\[
g < -5
\]

So the solution to the inequality is:

**g < -5**

Thus, the correct response is:
- g<−5
- g less than negative 5