SOLUTION: Solve inequality and represent solution on number line (-x*x/3) <4-(x/3)

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Question 1140440: Solve inequality and represent solution on number line
(-x*x/3) <4-(x/3)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%28x%2Ax%2F3%29+%3C4-%28x%2F3%29+
x%5E2%2F3+%3C12%2F3-x%2F3
x%5E2%2F3+%3C%2812-x%29%2F3
x%5E2%3C12-x
x%5E2%2Bx-12%3C0
x%5E2%2Bx-12%3C0
x%5E2%2B4x-3x-12%3C0
%28x%5E2%2B4x%29-%283x%2B12%29%3C0
x%28x%2B4%29-3%28x%2B4%29%3C0
%28x+-+3%29+%28x+%2B+4%29%3C0
solutions:
%28x+-+3%29+%3C0 => x%3C3
%28x+%2B+4%29%3C0+=>x%3C-4
Identify the intervals that satisfy the required condition:
-4%3Cx%3C3
domain:
(-4, 3)

number line:
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graph:

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