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# Solve for the inequality for x.

Solve for the inequality for x. 3x/x+1 < or equal to 2 (see attached for proper format)

Let me explain the... View the full answer

• is that just (-1,2]? what are the ............. for?
• mariskabaranczyk1
• Jul 19, 2016 at 11:24pm
• yes.we need some minimum number of characters in an answer, they are not part of the answer.
• physics321chemistry
• Jul 19, 2016 at 11:31pm
• Thanks!
• mariskabaranczyk1
• Jul 19, 2016 at 11:36pm

3x/(x+1) &lt;= 2 3x &lt;=... View the full answer

• answer is x<=2 , x ≠ -1 --> have to include this condition due to the denominator. Denominator cannot be equal 0.
• tutortee
• Jul 20, 2016 at 3:37am
• apologies.. x is (-1,2] is correct.
• tutortee
• Jul 20, 2016 at 3:46am
• 3x/(x+1) - 2 <= 0 then [3x/(x+1) - 2(x+1)/(x+1)] <=0 then [3x - 2(x+1)]/(x+1) <= 0 then simplify, you will get (x-2)/(x+1) <= 0. Critical values are x = 2 and x = -1. Test the intervals of x < -1, -1 < x <= 2 and x >=2, you will find that the interval -1
• tutortee
• Jul 20, 2016 at 3:57am
• ...that the interval -1
• tutortee
• Jul 20, 2016 at 3:58am
• -1 < x <= 2 is correct
• tutortee
• Jul 20, 2016 at 3:59am

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