The solution of (x + 9)(x - 1)(x - 5)≥ 0 is

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To solve the inequality (x + 9)(x - 1)(x - 5) ≥ 0, we find the roots of the equation (x + 9)(x - 1)(x - 5) = 0, which are x = -9, x = 1, and x = 5. These divide the number line into four intervals: x < -9, -9 < x < 1, 1 < x < 5, and x > 5. Testing values from each interval in the inequality, we find that the expression is non-negative (either positive or zero) when x is in the intervals [-9, 1] and [5, ∞), which corresponds to the choice "x ≤ -9, 1 ≤ x ≤ 5" and "x ≥ 5". Combining these gives the correct solution: -9 ≤ x ≤ 1, x ≥ 5.

The Solution of (X + 9)(x - 1)(x - 5)≥