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(x + 1)² - (x + 2)² + (x + 3)² ≥ (x + 4)²

(x² + 2x + 1²) - (x² + 4x + 2²) + (x² + 6x + 3²) ≥ (x² + 8x + 4²)

x² + 2x + 1 - (x² + 4x + 4) + (x² + 6x + 9) ≥ (x² + 8x + 16)

x² + 2x + 1 - x² - 4x - 4 + x² + 6x + 9 ≥ x² + 8x + 16

x² + 4x + 6≥ x² + 8x + 16

6 - 16≥ 8x - 4x - 10≥ 4x - <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B10%7D%7B4%7D%20" />≥ x - <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20" />≥ x

Conjunto solución : < - ∞ ; - <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B2%7D%20" /> ].