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x^{2}\geq 0
Multiply both sides by -4, the reciprocal of -\frac{1}{4}. Since -\frac{1}{4} is negative, the inequality direction is changed. Anything times zero gives zero.
x\in \mathrm{R}
The value of the expression x^{2} is always ≥0. Inequality holds for x\in \mathrm{R}.