1964 AHSME Problem 12

Which of the following is the negation of the statement: For all x of a certain set, x^2>0?

\begin{array}{l} \textbf{(A)}\ \text{For all x}, x^2 < 0\qquad \textbf{(B)}\ \text{For all x}, x^2 \le 0\qquad \textbf{(C)}\ \text{For no x}, x^2>0\qquad \\ \textbf{(D)}\ \text{For some x}, x^2>0\qquad \textbf{(E)}\ \text{For some x}, x^2 \le 0 \end{array}

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.