Lx-3l is greater than or equal to l2x + 1L

∵│x-3│≥│2x＋1│
∴（x-3）²≥（2x＋1）²
∴x²-6x＋9≥4x²＋4x＋1
∴3x²＋10x－8≤0
∴（3x-2）（x＋4）≤0
∴x∈[-4,2/3]

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