Question 328694
Let x=the number


Start with "the product of the number and -4", which is -4x.  Then take 9 less than this:
-4x-9>7


Now, solve the inequality by adding +9 to each side:
-4x-9+9>7+9
-4x>16


Finally, divide both sides by -4.  Remember, when you divide both sides of an inequality by a NEGATIVE number, you must REVERSE the inequality!!

{{{(-4x)/-4<16/-4}}}
{{{x<-4}}}


I have an explanation of TWO topics here WORD PROBLEMS and INEQUALITIES, but not together in the same section, in my own curriculum that I'm giving away FREE on my own website!  To see this website, click on my tutor name "rapaljer" anywhere in algebra.com.  Click on my website name that you will see there, and look on my Homepage for "Basic, Intermediate, and College Algebra: One Step at a Time."  Choose "Basic Algebra" and look in "Chapter 1" for the appropriate topics.  You will find WORD PROBLEMS in Sections 1.09 and 1.10, and INEQUALITIES in Section 1.11  These are my own explanations that are written especially for students who have trouble with math!  


In addition, many of my exercises are solved in my "Math in Living Color" pages that accompany each of these sections.


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