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

Answer 1

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 \(g < - 5\).