SOLUTION: Show me how to solve and reprent my solution on a number line {{{-4n+3<2n-9}}} Also show me how to solve, graph and check the following please 7m+5m-7-18m<3+12m-16 4p+

Algebra ->  Sequences-and-series -> SOLUTION: Show me how to solve and reprent my solution on a number line {{{-4n+3<2n-9}}} Also show me how to solve, graph and check the following please 7m+5m-7-18m<3+12m-16 4p+      Log On


   



Question 169556: Show me how to solve and reprent my solution on a number line
-4n%2B3%3C2n-9
Also show me how to solve, graph and check the following
please
7m+5m-7-18m<3+12m-16
4p+2(p+7)<8

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!


I'll just do the middle one:

7m%2B5m-7-18m%3C3%2B12m-16

Combine like terms on left and right:

-6m-7%3C-13%2B12m

Add -12m to both sides:

-18m-7%3C-13

Add 7 to both sides:

-18m%3C-6

Divide both sides b -18
which will reverse the inequality
since we are dividing by a negative

%28-18m%29%2F%28-18%29%3E%28-6%29%2F%28-18%29

m%3E1%2F3

Now we draw this number line

--------------------------------------
-3    -2    -1     0     1     2     3

Now we draw an open circle at 1%2F3 
which is 1%2F3 of the way between 0 and 1:

---------------------o----------------
-3    -2    -1     0     1     2     3

We drew an open circle, open because it 
is >, and not >,

And since it is "greater than", we shade to
the right of the open circle:

---------------------o================>
-3    -2    -1     0     1     2     3

and put an arrow head to the right, to indicate
that it extends indefinitely far to the right.

Edwin