Respuesta :

Given:

The number is -6.

To find:

The inverse with respect to addition of the given number.

Solution:

We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.

We know that, the sum of a number and its additive inverse is 0.

Let the additive inverse of -6 be x. Then,

[tex]-6+x=0[/tex]

Adding 6 on both sides, we get

[tex]-6+x+6=0+6[/tex]

[tex]x=6[/tex]

Therefore, the inverse with respect to addition of -6 is 6.