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

### 2 Answers | Add Yours

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.

so -4m+2m>-17-5-8

-2m > -30

to get m divide by -2. flip the sign whenever dividing by a negative number.

thus m < 15

### Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes