Note we can get two inequalities out of this:
AND
So we write:
AND
Add -3x to both sides of the first inequality.
Multiply the second inequality through by 2 to
clear of fractions:
AND
Divide the first inequality through by
which reverses the sign of inequality:
Add to both sides of the second
AND
Simplify the first and divide the second through
by 6 (which BTW does not reverse the sign of
inequality):
AND
It's easier to see if we change the
improper fractions to mixed fractions
AND
As you can see this is a contradiction because
the same value of x cannot be to the right of
AND also to the left of .
Thus the solution set is the empty, or null, set, Ø
Edwin
