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Question 201225: Can someone please help me:
Solve the inequality.
4x/6-x (less than) x
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Solve the inequality.
4x/6-x (less than) x
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Solve the equality:
4x/(6-x) = x
4x = x(6-x)
4x = 6x - x^2
x^2 - 2x = 0
x(x-2) = 0
x = 0 or x = 2
Comment x = 6, x = 0, and x = 2 are values that x cannot take.
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Draw a number line; plot the numbers 0,2,6 on the line.
Pick a test value in each of the 4 line intervals to see
where the solutions lie.
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4x/6-x (less than) x
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Check x = -1; -4/7 < -1; false
Check x = 1 ; 4/(5)<1 ; true
Check x = 4 ; 16/2<4 ; false
Check x = 8 ; 21/2 < 8 ; false
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Solution:
0 < x < 2
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Cheers,
Stan H.
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