A number is more than 11 units from 8

Answer 1

Let x be such a number.

Then, x > 11+8 or x < 8-11

x - 8 > 11 or x - 8 < -11

So, l x - 8 l > 11

Answer 2

Hello, Antonio.

Okay, so that distance from 8 has to be more than 11 units.

| x - 8 | > 11

So, to solve for x:

If x - 8 is positive, then:

x - 8 > 11

x > 19

If x - 8 is negative, then:

| x - 8| = -(x - 8) = 8 - x

So,

8 - x > 11

x < -3

So, the answers are:

x < -3 or x > 19