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-1904x\geq 6-6
Subtract 6 from both sides.
-1904x\geq 0
Subtract 6 from 6 to get 0.
x\leq 0
Product of two numbers is ≥0 if both are ≥0 or both are ≤0. Since -1904\leq 0, x must be ≤0.