SOLUTION: Using the standard window settings, Emily graphed y=x^3+3x^2-x-3 on her graphing calculator. She then used her graph to correctly solve the inequality x^3+3x^3>- x+3. What is her s

Question 309091: Using the standard window settings, Emily graphed y=x^3+3x^2-x-3 on her graphing calculator. She then used her graph to correctly solve the inequality x^3+3x^3>- x+3. What is her solution.
Found 2 solutions by stanbon, Fombitz:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Using the standard window settings, Emily graphed y=x^3+3x^2-x-3 on her graphing calculator. She then used her graph to correctly solve the inequality x^3+3x^2 >- x+3. What is her solution.
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Ans: x > 0.7693
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Cheers,
Stan H.
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Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I think you mean

which equates to

So look for the intervals when the function is greater than zero because then it satisfies the inequality,

.
.
.

The red line is the original function, .
The green line is .
The blue line is .
When the red line is above zero is equal to when the green line is above the red line.
The x value that corresponds to when the inequality holds is,

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