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
What is the solution to the inequality
`-14g+12>-2g+24`
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