SOLUTION: Could you please help me with this equation: 4(3y-2)>=992y+5) Thank you for your help in advance.I was wondering if you all are in fact still at this website,because I have been

Question 129618: Could you please help me with this equation: 4(3y-2)>=992y+5)
Thank you for your help in advance.I was wondering if you all are in fact still at this website,because I have been sending e-mails all week? I hope so because you all have help me and my friends a lot.If you are not excepting anymore e-mails from this site,could you please let me know,because I was considering sending a donation for all the help you have given me.

Sincerely,
LH
Found 2 solutions by bucky, amine:
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
algebra.com is still functioning. Sometimes problems get ignored for no apparent reason.
Sometimes they aren't answered because they are very long problems that will take too long
to explain.
Sometimes the problem is not stated. Only a textbook is referenced and most tutors don't have
a library of all the textbooks that people refer to. Therefore, the tutors don't know what
the problem really is.
Sometimes the problem is typed out in such a way that it can't be easily understood
so tutors won't bother taking time to unscramble and interpret it or won't work it the three
or four ways that it might be interpreted.
.
And sometimes tutors just need a break to so they drop off line for a while. This may
be one of those times when all the tutors are just taking it a little easy ... working
on income taxes, getting involved in politics, and other distractions. Most tutors are
volunteers who provide this free service for fun, just to stay in practice, or just because
it is something that contributes something to others in need and it makes them feel good
to do so. On the other hand, most have jobs and other responsibilities such as families, that
require their attention too.
.
Your problem was written as:
.
4(3y-2)>=992y+5)
.
I think you meant it to be:
.
4(3y-2)>=9(2y+5)
.
You can work this inequality just as you would an equation with one exception ... if you
ever have to divide or multiply both sides by a negative quantity, when you do the division
or multiplication by that negative quantity, you reverse the direction of the inequality sign
at the same time.
.
Let's follow the rules of equation solving in working this problem. First let's do the
distributed multiplication on both sides ... on the left side multiply the 4 by both terms
in that set of parentheses and on the right side multiply the 9 by both terms in that set of
parentheses. These multiplications expand the inequality to:
.
12y - 8 >= 18y + 45
.
Get rid of the 18y on the right side by subtracting 18y from both sides to get:
.
-6y - 8 >= + 45
.
Now get rid of the -8 on the left side by adding + 8 to both sides and you have:
.
-6y >= 53
.
Finally, solve for y by dividing both sides by the -6 that multiplies the y. And don't
forget that since you are dividing by a minus quantity you must also reverse the direction
of the inequality arrow. When you divide both sides by a minus 6 the inequality becomes:
.
y <= -53/6
.
And thats the answer to your problem ... y must be equal to or lie to the left of -53/6
on the number line.
.
Hope this helps you to understand how to do inequalities such as these.
.
Answer by amine(11) (Show Source): You can put this solution on YOUR website!
4(3y-2)>=992y+5 ===> 12y - 8 >= 992y + 5 ===> 992y - 12y <= -8 -5 ===>
980y <= -13 ===> y <= -13/980 that all
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