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

Question

Responses

g>−5
g greater than negative 5
g> 71/−17
g greater than Start Fraction 71 over negative 17 End Fraction
g<−5
g less than negative 5
g< 71/−17

Answer 1

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

1. 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: \[ -7g > 35 \]

2. 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.