M + 12 < 8 m + 12 blank 12 < 8 blank 12

Answer 1

To solve this inequality, we need to isolate the variable m on one side of the inequality.

First, let's simplify the inequality:
M + 12 < 8m + 12
Subtract 12 from both sides:
M < 8m

Now, we need to isolate the variable m:
M - 8m < 0
Subtract M from both sides:
-7m < 0

Now, divide by -7 on both sides, remembering to reverse the inequality when dividing by a negative number:
m > 0

Therefore, the solution to the inequality is m > 0.