SOLUTION: 3/4x+2is less than or equal to 3x-1

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Question 936699: 3/4x+2is less than or equal to 3x-1
Found 2 solutions by TimothyLamb, stanbon:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
(3/4)x + 2 <= 3x - 1
1 + 2 <= 3x - (3/4)x
3 <= (12/4)x - (3/4)x
3 <= (9/4)x
x >= 3*(4/9)
x >= 4/3
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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3/4x+2is less than or equal to 3x-1
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3/(4x+2) <= (3x-1)
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(3x-1)(4x+2) >= 3
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12x^2 + 2x - 2 >= 3
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12x^2 + 2x - 5 >= 0
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Graph::
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C12x%5E2%2B2x-5%29
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Find the roots.
Ans: root1<= x <=root2
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Cheers,
Stan H.