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Browse all files. Sort by a[b] order. Sort by (name, size, last modification, download count), newest first.  .Q:

Is the following statement correct?

“Is the following statement true, false or neither?”

$x^2 + y^2 \geq 0$ implies $x^2 + y^2 \leq 0$
Is it a correct proposition?

A:

This is clearly false, as the contrapositive is not true!

A:

The contrapositive is false.
The statement
$$
x^2+y^2\geq 0\quad\Rightarrow\quad x^2+y^2\leq 0
$$
is equivalent to
$$
x^2+y^2\leq 0\quad\Rightarrow\quad x^2+y^2\geq 0
$$
or the reverse of the above formula is false.

A:

No, it is false.
When we write
$$
x^2+y^2\geq0\quad\Rightarrow\quad x^2+y^2\leq0,
$$
$x^2+y^2\leq 0$ does not imply $x^2+y^2\geq0$.

Kansas City outlaws minimal battery ordinance

Kansas City, Mo., outlaws the use of a “minimal battery,” an ordinance that allows police officers to use force if any is necessary to prevent the commission of a felony. The law, which was proposed to the Kansas City Council on Oct. 22, was needed to respond to a legal challenge regarding the arrest and beating of a citizen by police officers.

“The proposed ordinance aims to better define the ‘minimal battery’ so that it will make clear who may legally use the minimum force necessary to prevent a felony,” according to a statement from the Kansas City, Mo., Office of Police Affairs.

“Arrest-related force … will be clearly defined and will be limited to people engaged in violent acts,” the statement continued.

Bob Wenzel, associate professor of law and law and society at the University of Missouri-Kansas City School of Law, said that police officers need to have less-intrusive means of making arrests.

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