SOLUTION: can you help me figure out the inequality to 1/2y+1/4y is greater than or equal to -6?

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Question 249402: can you help me figure out the inequality to 1/2y+1/4y is greater than or equal to -6?
Found 2 solutions by jim_thompson5910, College Student:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F2%29y%2B%281%2F4%29y%3E=-6 Start with the given inequality.


4%28%281%2Fcross%282%29%29y%2B%281%2Fcross%284%29%29y%29%3E=4%28-6%29 Multiply both sides by the LCD 4 to clear any fractions.


2y%2By%3E=-24 Distribute and multiply.


3y%3E=-24 Combine like terms on the left side.


y%3E=%28-24%29%2F%283%29 Divide both sides by 3 to isolate y.


y%3E=-8 Reduce.


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Answer:

So the solution is y%3E=-8

Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Do you mean: %281%2F2%29y%2B%281%2F4%29y%3E=-6 ...OR... %281%2F%282y%29%29%2B%281%2F%284y%29%29%3E=-6 ??

*** Please note: When typing problems in computers, please use parenthesis to distinguish numerators from denominators ...and... fractions from variables that are not inside the fractions. This way there are no misunderstandings. ***

Solving for: %281%2F2%29y%2B%281%2F4%29y%3E=-6
Multiply by 4 on both sides of the inequality to get rid of fractions.
4%28%281%2F2%29y%2B%281%2F4%29y%29%3E=4%2A%28-6%29
We get:
2y%2By%3E=-24
Simplify:
3y%3E=-24
Divide by 3 on both sides to determine the values of y.
y%3E=-8

Solving for: %281%2F%282y%29%29%2B%281%2F%284y%29%29%3E=-6
Multiply by 4y on both sides of inequality to get rid of fractions.
4y%28%281%2F%282y%29%29%2B%281%2F%284y%29%29%29%3E=4y%28-6%29
We get:
2y%2B1%3E=-24y
Combine like terms:
2y%2B24y%3E=-1
Simplify:
26y%3E=-1
Divide by 26 on both sides to determine the values of y.
y%3E=-%281%2F26%29