1964 AMC 12 Question 12
AMC12 · 1964 AMC 12
Which of the following is the negation of the statement: For all $x$ of a certain set, $x^2\gt0?$
For all $x,$ $x^2\lt0$
For all $x,$ $x^2\leq0$
For no $x,$ $x^2\gt0$
For some $x,$ $x^2\gt0$
For some $x,$ $x^2\leq0$