SOLUTION: 3(x - 2) > 4(2x + 11)

Question 395802: 3(x - 2) > 4(2x + 11)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given inequality.

Distribute.

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.

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Answer:

So the solution 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:

Note: there is an open circle at the endpoint.

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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