Question

which option is the solution to the inequality -12g + 18 > -5g + 53

Answer 1

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

1. **Move all terms involving \(g\) to one side of the inequality.** We can add \(12g\) to both sides:

\[
18 > 7g + 53
\]

2. **Now, subtract \(53\) from both sides:**

\[
18 - 53 > 7g
\]

This simplifies to:

\[
-35 > 7g
\]

or

\[
7g < -35
\]

3. **Next, divide both sides by \(7\):**

\[
g < -5
\]

So the solution to the inequality is \(g < -5\).

If you have options to choose from, the correct option will be the one that states \(g < -5\).