Question 232406
7-3x>4-2x


Get all the variable terms to the left side.  Add +2x to each side:
7-3x+2x>4-2x+2x
7-x>4


Get all the number terms to the right side.  Subtract 7 from each side.


7-7-x>4-7

-x >-3


This is the ALL IMPORTANT step!  You must divide both sides by -1, which is a NEGATIVE number.  When you divide both sides by a negative number, you must REVERSE the inequality!


{{{-x/-1<-3/-1}}}
{{{x<3}}}


For additional help with this topic of SOLVING INEQUALITIES, please visit my own website.  Do a "Bing" or "Google" search for my last name "Rapalje".  Look for "Rapalje Homepage" near the top of the search list.  From my Homepage, look for "Basic, Intermediate, and College Algebra: One Step at a Time."  Select "Basic Algebra" and look in "Chapter 1" for "Section 1.11 Inequalities."  This section is supported by my "MATH IN LIVING COLOR" page in which I solved problems IN COLOR!


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus