Question 222391: I am having trouble understanding how to do these types of problems. Could you show me this problem step by step please?
24-7y≤11y-14
Found 2 solutions by checkley77, rapaljer:
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! 24-7y≤11y-14 Treat the <= signs like a normal = sign for grouping terms.
-7y-11y<=-14-24
-18y<=-38
y>=-38/-18 ( Note this is one exception when dividing by a negative value the < sign changes to the > sign.
y>=19/9 ans.
Proof:
Let y=20/9
24-7*20/9<=11*20/9-14
24-140/9<=220/9-14
(9*24-140)/9<=(220-9*14)/9
(216-140)/9<=(220-126)/9
76/9<=94/9
Answer by rapaljer(4671)  (Show Source):
You can put this solution on YOUR website! 
For inequalities, I recommend that you always get the variable terms on the LEFT side!
Subtract 11y from each side:
Next, get all the number terms to the right side by subtracting 24 from each side:
The last step, you must divide both sides by -18. When you divide both sides by a NEGATIVE number, you must REVERSE the inequality!
For additional explanation on Solving Inequalities, please see my own website. Do a "Bing" search for my last name "Rapalje". Look for "Rapalje Homepage" near the top of the search list. On my Homepage near the top, look for the link "Basic, Intermediate and College Algebra: One Step at a Time." Choose "Basic Algebra", and look in Chapter 1 for Section 1.11 Inequalities. In this section, you will find my own non-traditional explanations, that my own students all said were a LOT easier to understand than traditional textbooks. See also the corresponding "MATH IN LIVING COLOR" pages in which problems are solved IN COLOR!
R^2
Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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