Question

What is the solution to the inequality

`-14g+12>-2g+24`

Put your answer in the solution box below

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the inequality, we want to isolate the variable "g" on one side of the inequality sign.

Starting with the given inequality: -14g + 12 > -2g + 24

First, let's get rid of the constants on the right side of the inequality by subtracting 12 from both sides:
-14g + 12 - 12 > -2g + 24 - 12
-14g > -2g + 12

Next, we want to isolate the variable "g". We can do this by subtracting -2g from both sides of the inequality:
-14g - (-2g) > -2g + 12 - (-2g)
-14g + 2g > 12

Combining like terms:
-12g > 12

Finally, to solve for "g", we divide both sides of the inequality by -12. However, we need to be careful since we are dividing by a negative number, which means we need to change the direction of the inequality sign.
g < 12 / (-12)
g < -1

Therefore, the solution to the inequality -14g + 12 > -2g + 24 is:
g < -1