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+

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Question 169556: Show me how to solve and reprent my solution on a number line

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)   (Show Source): You can put this solution on YOUR website!


I'll just do the middle one:



Combine like terms on left and right:



Add -12m to both sides:



Add 7 to both sides:



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





Now we draw this number line

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

Now we draw an open circle at  
which is  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

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