SOLUTION: 1/4(8y+4)-34<-1/3(9y-6)

Question 178299: 1/4(8y+4)-34<-1/3(9y-6)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality

Multiply EVERY term (that's not in a set of parenthesis) by the LCD 12 to clear the fractions.

Distribute.

Combine like terms on the left side.

Add to both sides.

Add to both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

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Answer:

So the answer is

So the answer in interval notation is

Also, the answer in set-builder notation is

Here's the graph of the solution set on the number line:

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