SOLUTION: Hello. I have a question that I can't understand how to solve. Any help would be appriciated. Thank you! Solve, graph on a number line and write your answer in set-builder no

Question 187311: Hello. I have a question that I can't understand how to solve. Any help would be appriciated. Thank you!
Solve, graph on a number line and write your answer in set-builder notation.
- x/2 + 4 < 3x/2 + 8
It's - x over 2 and 3x over 2. I did not know how to do fractions on here so used the / sign.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given inequality.

Multiply EVERY term by the LCD to clear the fractions.

Distribute and multiply.

Subtract from 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

The answer in interval notation is

Also, the answer in set-builder notation is

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

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