SOLUTION: solve {{{-11<=4x-4<=-3}}} the inequaility signs inthe problem are less then equal to signs

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Question 224283: solve -11%3C=4x-4%3C=-3
the inequaility signs inthe problem are less then equal to signs

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
-11%3C=4x-4%3C=-3
The first step is to isolate the x in the middle of this inequality. Start by adding +4 to the LEFT SIDE, the CENTER, and the RIGHT SIDE of the inequality.

-11%2B4+%3C=4x-4%2B4+%3C=-3+%2B4
-7%3C=4x%3C=1

Now, you must UNDO multplication by 4. To do this you must DIVIDE by 4 to the LEFT, CENTER, and RIGHT parts of this inequality:
-7%2F4%3C=%284x%29%2F4%3C=1%2F4

This is the final answer:
-7%2F4%3C=x%3C=1%2F4

For additional help, explanation, examples, exercises, and answers, please go to my website, by doing a "Bing" Search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. Then, near the top of my Homepage, look for "Basic, Intermediate and College Algebra: One Step at a Time," select "Basic Algebra" and in "Chapter 1", look for "Section 1.11 Inequalities". This is my own non-traditional explanation that my own students have found MUCH easier to understand than the traditional textbooks. In addition to my explanations, examples and exercises, I have my "MATH IN LIVING COLOR" pages where I solved many of these exercises IN COLOR!!

R^2

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