SOLUTION: I need help solving problems such as 3y -3 < 5y � 4 I start with 3y � 3 < 5y I am never sure if I should subtract 5y from each side or subtract 3y from each side. Then wit

Question 147109: I need help solving problems such as
3y -3 < 5y � 4
I start with 3y � 3 < 5y
I am never sure if I should subtract 5y from each side or subtract 3y from each side.
Then with 3 < 5y � 4
Do I add four on both sides or subtract 3 from each side?
I will get different answers depending on which way I go.
Can you help?
Thank you.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality.

Add to both sides.

Subtract from both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate . note: Remember, the inequality sign flips when we divide both sides by a negative number.

Reduce.

----------------------------------------------------------------------

Answer:

So the answer is

Which approximates to

So the answer in interval notation is

Also, the answer in set-builder notation is

Here's the graph of the solution set

Note: there is an open circle at which means that we're excluding that value from the solution set.
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