SOLUTION: I've been struggling with this problem. 13n-12 ≤ -8+9n I don't know how to solve it and put it on a number line. Could you help? Thanks.

Algebra ->  Number-Line -> SOLUTION: I've been struggling with this problem. 13n-12 ≤ -8+9n I don't know how to solve it and put it on a number line. Could you help? Thanks.      Log On


   

Question 653563: I've been struggling with this problem.
13n-12 ≤ -8+9n
I don't know how to solve it and put it on a number line. Could you help? Thanks.
Found 3 solutions by CubeyThePenguin, josgarithmetic, ikleyn:
Answer by CubeyThePenguin(3113) About Me  (Show Source):
You can put this solution on YOUR website!
13n - 12 <= -8 + 9n
4n <= 4
n <= 1

0......1......2......3......4......5.......6
<===|------------------------------>

***(fixed)

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
13n-12%3C=-8%2B9n
4n-12%3C=-8
4n%3C=-8%2B12
4n%3C=4
n%3C=1 
<===================(=)------------------------------->
       |      |      |      |      |      |      |
       -1    0       1      2      3      4      5




--------------------this below was wrong--------------------------------
n%3C=5--------after solving the inequality. 

<===============================================(=)------>
       |      |      |      |      |      |      |
       -1    0       1      2      3      4      5

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
I've been struggling with this problem.
13n-12 ≤ -8+9n
I don't know how to solve it and put it on a number line. Could you help? Thanks.
~~~~~~~~~~~


The solutions by  BOTH  @CubeyThePenguin  and  @josgarithmetic are INCORRECT.

I came to bring you the correct solution. 

    13n - 12 <= -8 + 9n


    4n <= 4


    n <= 1

Solved.