SOLUTION: solve the inequality and write the solution in interval notation
x+1/x+3 > 2
Algebra.Com
Question 150501: solve the inequality and write the solution in interval notation
x+1/x+3 > 2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the inequality and write the solution in interval notation
x+1/x+3 > 2
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x cannot be -1
x cannot be -3
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Solve the equality by cross-multiplying:
x+1 = 2(x+3)
x+1 = 2x+6
x cannot be -5
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Draw a number line and plot -5, -3, -1 on it
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Since x=-5 yields equality test values on either side to find the solution set.
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Check x = -6; (-6+1)/(-6+3) >2; false, so no solutions in (-inf,-6)
Check x = -4: (-4+1)/(-4+3) >2; true, so solutions in (-5,-3)
Check x = -2: (-2+1)/(-2+3) >2; false, so no solutions in (-3,+inf)
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Final Answer: -5 < x < -3
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Cheers,
Stan H.
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