Math problem??? I 5-x I = 6?

Question

thats supposed to be absolute value show work please

Answer 1

You can go two ways with this, since | 5 - x | = 6

then

5 - x = 6

or

5 - x = -6

We'll start with the first one..

5 - x = 6

-x = 6 - 5

-x = 1

x = -1

or

5 - x = -6

-x = -6 - 5

-x = -11

x = 11

so, x = either -1 or 11

Good Luck.

Answer 2

-6 < l 5 - x l < 6

-6 < 5 - x < 6

-11 < -x < 1

-1 < x < 11

x = 11, -1

Remember signs change when you divide/ multiply by a negative number.

Answer 3

case 1: 5-x > 0

|5-x| =5-x

5-x=6

-x=1

x=-1

case 2: 5-x < 0

|5-x| = -(5-x) =-5+x

-5+x = 6

x=11

x= 11 or -1

Answer 4

###If you wanna solve this absolute equation, then here you go:

I 5-x I = 6

So, 5-x=6 or 5-x=-6

Therefore, x=-1 or 11

###If you wanna decide which one is greater, you have to discuss a little bit: here are three situations

1. When I 5-x I  = 6, we have  x=-1 or 11

2. When I 5-x I is greater than 6,

we have   I5-x I >6, so  we have  5-x>6  or  5-x<-6

Therefore, x<-1 or  x>11

3. When 6 is greater than I 5-x I

we have I 5-x I<6, than -6<5-x<6,

Thus, -1<x<11



So, when -1<x<11, 6 is greater than I5-x I

when x<-1 or  x>11, I5-x I  is greater than 6

when x=-1 or 11, I 5-x I = 6