Respuesta :

Answer: C) 2

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Work Shown:

Let x be some integer from the set {..., -3, -2, -1, 0, 1, 2, 3, ...}.
The multiplicative inverse of x is a number y such that x*y = 1.

Since we want x and y to be the same, this means y = x

Use substitution to go from 
x*y = 1
to 
x*x = 1
Basically I've replaced y with x

Now solve for x
x*x = 1
x^2 = 1
x = +-sqrt(1)
x = 1 or x = -1

There are 2 values of x where they are their own multiplicative inverse
1*1 = 1
(-1)*(-1) = 1

Nuber of integers are their own multiplicative inverses is option C 2.

What is multiplicative inverse?

The multiplicative inverse of various is described as more than a few that after extended with the aid of the authentic variety offers the product as 1. The multiplicative inverse

Let x be some integer from the set {. -3, -2, -1, 0, 1, 2, 3, ...}.

The multiplicative inverse of x is a number y such that x*y = 1.

Since we want x and y to be the same, this means y = x

Use substitution to go from

x*y = 1 to x*x = 1

Basically I've replaced y with x

Now solving for x,

x*x = 1

x^2 = 1

x =±[tex]\sqrt{1}[/tex]

x = 1 or x = -1

There are 2 values of x where they are their own multiplicative inverse

1*1 = 1

(-1)*(-1) = 1

Hence  integers are their own multiplicative inverses of 2.

Learn more about multiplicative inverse here:-https://brainly.com/question/1682347

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