SOLUTION: I am making a poster for my algebra class. Here is the problem I have to solve and graph on a number line 7k - 1 + 2k < 26 and 2/3k + 8 > 12 - (a dash belongs under

Solve each part just like an equation:









The first part  is graphed like this:

<==================]---------------------
-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10

The second part  is graphed like this

----------------------------(============>
-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10

These graphs have no points in common, so there is no solution.
So the solution set is empty or ⌀.  That's because it doesn't 
make any sense to say that a value of x can be less than or 
equal to 3 AND greater than 6.  For if it's less than 3 it
CANNOT be greater than 6.  

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NOTE:

If you had been given the same inequalities with the word "OR" 
between them instead of the word "AND", then there would have been
a solution, because the word "OR" does not require any common
points.  The solution would have been:

<==================]--------(============>
-3 -2 -1  0  1  2  3  4  5  6  7  8  9 10

However it would make sense to say a value of x can be less than 
or equal 3 OR greater than 6.  But with the word "AND" between them 
the solution set is empty, because it doesn't make sense to say that 
a value of x can be less or equal to 3 AND also greater than 6.  

Edwin