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)   (Show Source): You can put this solution on YOUR website!

Start with the given inequality.


Multiply both sides by the LCD to clear any fractions.


Distribute and multiply.


Combine like terms on the left side.


Divide both sides by to isolate .


Reduce.


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Answer:

So the solution is

Answer by College Student(505)   (Show Source): You can put this solution on YOUR website!
Do you mean: ...OR... ??

*** 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:
Multiply by 4 on both sides of the inequality to get rid of fractions.

We get:

Simplify:

Divide by 3 on both sides to determine the values of y.


Solving for:
Multiply by 4y on both sides of inequality to get rid of fractions.

We get:

Combine like terms:

Simplify:

Divide by 26 on both sides to determine the values of y.

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