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!
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
