Help determine the solution
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Help determine the solution

[From: ] [author: ] [Date: 11-12-30] [Hit: ]
......
Using sign analysis to determine the solution of the inequality

-6x >= x^2 - 16

Please show all your work

-
-6x ≥ x^2 - 16

Add 6x to both sides:
0 ≥ x^2 + 6x - 16
0 ≥ (x + 8)(x - 2)

In effect, one factor must be positive and one negative for their product to be negative. (For the product to EQUAL zero, x = -8, 2 of course.)

SOLUTION: -8 ≤ x ≤ 2

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