Question

Which two integers have modulus value 5?
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Answer 1

$\huge{\ulcorner{\red{\texttt{Answer :- }}}}\rfloor$

$\boxed{\textbf{Integers which have modulus value 5 }}$

$\textbf{ Answer :- 5 and -5 }$

$\large{\boxed{\star\textsf{Solution :- }}}$

$\underline{\textsf{As modulus can be de}\textsf{fined as }}$

$\star\mathsf{ If\: x\: > 0\: then \:Modulus \:of \:x = \:x }$

That is |x| = x

Example :-

Modulus of 2 = 2

i.e. |2| = 2

$\star\mathsf{ If\: x\: < \:0\: then\: Modulus \:of\: x \:= \:-x }$

That is |x| = -x

Example :-

Modulus of -2 = 2

i.e |-2| = -(-2)

= 2

$\star\underline{\textsf{Integers}}$
The Set of all $\textbf{Natural Numbers}$ including $\bold{Zero}$ and their $\textbf{Negatives}$ is called $\bold{Integers}$.

$\large{\mathfrak{\underline{Example}}}$

$\boxed{\textsf{Negative Integers}}$

The numbers like
-1 , -2 , -3 , -4 , ...,(-∞)
are called Negative Integers

$\boxed{\textsf{Positive Integers}}$

The numbers like
1 , 2 , 3 , 4 ...(+∞)
are called Positive Integers

Answer 2

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