-12greater than or equal to x^(2)+8x

3 answers

x >= 2

How do you get that

-12 >= x^2+8x
x^2+8x+12 <= 0
(x+2)(x+6) <= 0

You know the roots are -2 and -6, and the parabola opens upward. So, y is negative between the roots:

-6 <= x <= -2

Clearly Philip did not check his answer.

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