MathDB

29

Part of 1957 AMC 12/AHSME

Problems(1)

Quartic Inequality

Source:

6/8/2009
The relation x^2(x^2 \minus{} 1)\ge 0 is true only for: (A)\ x \ge 1\qquad (B)\ \minus{} 1 \le x \le 1\qquad (C)\ x \equal{} 0,\, x \equal{} 1,\, x \equal{} \minus{} 1\qquad \\(D)\ x \equal{} 0,\, x \le \minus{} 1,\, x \ge 1\qquad (E)\ x \ge 0
inequalities