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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
for this kind of question, you have to put the unknown to one side first.
-2m > -30
to get m divide by -2. flip the sign whenever dividing by a negative number.
thus m < 15
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