What is the solution to the inequality

Question

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

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Answer 1

To solve the inequality, we can start by simplifying both sides of the inequality:

-14g + 12 > -2g + 24

Next, we can combine like terms on each side:

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

12 > 12g + 24

Next, we can subtract 24 from both sides:

12 - 24 > 12g + 24 - 24

-12 > 12g

Finally, we can divide both sides by 12, remembering to reverse the inequality when dividing by a negative number:

-12/12 < 12g/12

-1 < g

Therefore, the solution to the inequality is g < -1.

Answer: \boxed{g < -1}