SOLUTION: Solve and give answer in interval notation {{{(4x-5)/(x+3)<3}}}

SOLUTION: Solve and give answer in interval notation {{{(4x-5)/(x+3)<3}}}

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Question 135440: Solve and give answer in interval notation

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First, let's find the vertical asymptote

Set the denominator equal to 0

Solve for x

So the vertical asymptote is . If we graph, we can see that the vertical asymptote is a critical value. So from the graph, we can see that anything to the left of is not in the interval. So this means that one part of the solution is

Start with the given inequality

Multiply both sides by

Distribute

Subtract 3x from both sides

Add 5 to both sides

So another part of the solution is

Answer:

So the answer in interval notation is

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