Question 220734
Solve for x:
2x+1 <3
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x-5 
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(2x+1)/(x-5) < 3
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You can see that x cannot be 5 
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Draw a Number line and mark x = 5
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Now check a value from each of the resulting intervals 
in the inequality to see where the solution set lies.

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Check x = 0; you get: (1/1)<3 ; true, so solutions in (-inf,5)
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Checx x = 10; you get: 21/5 < 3 ; false so no solutions in (5,+inf)
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Let's see what it looks like:
I'll graph the left side and the right side separately:
{{{graph(400,300,-10,10,-10,10,(2x+1)/(x-5),3)}}}
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Cheers,
Stan H.