Consider the statements:
<spanclass=′latex−bold′>(1)</span>p and q are both true<spanclass=′latex−bold′>(2)</span>p is true and q is false<spanclass=′latex−bold′>(3)</span>p is false and q is true<spanclass=′latex−bold′>(4)</span>p is false and q is false.
How many of these imply the negative of the statement "p and q are both true?"
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>1<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>3<spanclass=′latex−bold′>(E)</span>4