Consider the following vocabulary: L$($x$)$ denoting $"$x is in the library," D$($x$)"$x is written in Danish," T$($x$)"$x is written in Tamil," and N$($x$)$ is $"$x is a novel." Assume the domain of all variables is all books.

Match the English sentence on the left with the correct logical expression on the right.

Drag and drop application.

All the books in the library are written in Danish or Tamil.

All the books in the library are written in Danish or Tamil. drop zone empty.

There are some books in the library written in Danish or Tamil.

There are some books in the library written in Danish or Tamil. drop zone empty.

Every book written in Danish or Tamil is in the library.

Every book written in Danish or Tamil is in the library. drop zone empty.

All books in the library written in Danish are novels.

All books in the library written in Danish are novels. drop zone empty.

Every book in the library that is not a novel is written in Tamil.

Every book in the library that is not a novel is written in Tamil. drop zone empty.

The library has all books not written in Tamil or Danish.

The library has all books not written in Tamil or Danish. drop zone empty.

$$x $($L$($x$)->($D$($x$)$ T$($x$)))$

$$x $(($D$($x$)$ T$($x$))->$ L$($x$))$

$$x $(($D$($x$)$ T$($x$))->$ L$($x$))$

$$x $(($L$($x$)$ D$($x$))->$ N$($x$))$

$$x $(($L$($x$)($D$($x$)$ T$($x$)))$

$$x $(($L$($x$)$N$($x$))->$ T$($x$))$