To solve the inequality \(-12g + 18 > -5g + 53\), we can follow these steps:
-
Start by isolating the terms involving \(g\) on one side and the constant terms on the other side: \[ -12g + 5g > 53 - 18 \] This simplifies to: \[ -7g > 35 \]
-
Next, divide both sides by \(-7\). Remember that when you divide by a negative number, you must flip the inequality sign: \[ g < -5 \]
So the solution to the inequality is: \[ g < -5 \]
Thus, the correct responses are:
- \(g < -5\)
- \(g \text{ less than negative } 5\)
Therefore, the answer is: g < −5.