When solving inequalities, you generally take the same
approach as if it were an equality, keeping a couple things in
mind:
1. The answer will be an inequality as
well
2. If you divide or multiple by a negative number, you
need to flip the inequality. For example, if we had -2x >
10, to solve we would divide by -2, and flip the
inequality, giving us x <
-5.
With that in mind, we'll proceed to solve
the given inequality. The first step is to combine like
terms:
5 - 4m + 8 + 2m >
-17
=>
(1)
13 - 2m > -17
Next, we'll
isolate all terms with m on one side of the equation by subtracting
13 from both sides:
(2) -2m
> -30
Next, we'll divide by
-2 and flip the inequality, giving us our final
solution:
m <
15
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