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What is the largest negative integer value of x, for which ∣∣​ x 3 −1 ∣∣​ ≥2−x?Enter Answer:

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What is the largest negative integer value of x, for which ∣∣​ x 3 −1 ∣∣​ ≥2−x?Enter Answer:
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Solution 1

To solve the inequality |x^3 - 1| ≥ 2 - x, we need to consider two cases due to the absolute value:

Case 1: x^3 - 1 ≥ 2 - x Rearranging, we get x^3 + x - 3 ≥ 0 Solving this cubic inequality, we find that x ≤ -1 or x ≥ 1.73 (approximately). Since we're looking for the largest negative integer, x = - Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI  is a powerful AI-powered study tool designed to help you to solve study problem.
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