Monday, May 12, 2014

could anyone help me solve these kinds of problems 5-4m+8+2m>-17

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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