SOLUTION: Hello! I need help on this other problem for a test revision: 5-2x<3x-2 Can you help me find the solution to the inequality? Also, thanks for all the previous help in the pa

Question 374763: Hello! I need help on this other problem for a test revision:
5-2x<3x-2
Can you help me find the solution to the inequality?
Also, thanks for all the previous help in the past from algebra.com!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality.

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 solution is

Which in decimal form is

Note: most likely, the teacher will want the answer involving the fraction.

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's an open circle at which means that we're exluding this value.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim

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