To solve for the value of [tex]\(\lfloor -12 \rfloor\)[/tex], we need to understand what the floor function does. The floor function, denoted as [tex]\(\lfloor x \rfloor\)[/tex], gives the greatest integer less than or equal to [tex]\(x\)[/tex].
Now, consider the number [tex]\(-12\)[/tex]. The greatest integer that is less than or equal to [tex]\(-12\)[/tex] is [tex]\(-12\)[/tex] itself.
Therefore, the value of [tex]\(\lfloor -12 \rfloor\)[/tex] is:
[tex]\[
-12
\][/tex]
The correct answer is:
[tex]\[
-12
\][/tex]
