Which option is the solution to the inequality - 12g + 18 > - 5g + 53 (1 point) g < 71/- 17 g < - 5 g > 71/- 17 g > - 5

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To solve the inequality \(-12g + 18 > -5g + 53\), we can start by isolating \(g\).

1. First, let's move the terms involving \(g\) to one side. We'll add \(12g\) to both sides:

\[
18 > 7g + 53
\]

2. Next, we subtract \(53\) from both sides:

\[
18 - 53 > 7g
\]

This simplifies to:

\[
-35 > 7g
\]

3. Now, we can divide both sides by \(7\). Remember that dividing by a positive number does not change the direction of the inequality:

\[
-\frac{35}{7} > g
\]

Simplifying this gives:

\[
-5 > g
\]

or

\[
g < -5
\]

The correct solution is \(g < -5\).

So the answer is \(g < - 5\).