Question

HELP. Solve the inequality and sketch the solution on the real number line. |x – 8| < –9

Answer 1

|x-8|<-9

Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
x-8<\(-9)

Set up the + portion of the \ solution.
x-8<-9

Since -8 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 8 to both sides.
x<8-9

Subtract 9 from 8 to get -1.
x<-1

Set up the - portion of the \ solution. When solving the - portion of an inequality, flip the direction of the inequality sign.
x-8>-(-9)

Multiply - by the -9 inside the parentheses.
x-8>-*-9

Multiply - by -9 to get 9.
x-8>9

Since -8 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 8 to both sides.
x>8+9

Add 9 to 8 to get 17.
x>17

Multiply - by the -9 inside the parentheses.
x-8>-*-9

Multiply - by -9 to get 9.
x-8>9

Since -8 does not contain the variable to solve for, move it to the right-hand side of the inequality by adding 8 to both sides.
x>8+9

Add 9 to 8 to get 17.
x>17

The solution to the inequality includes both the positive and negative versions of the absolute value.
x<-1 and x>17

Since there are no numbers where x<-1 and x>17, this inequality has no solution.
No Solution

Answer 2

Did you copy and paste that from bagatrix?

Answer 3

No, it's the software you're using to copy and paste steps from.

Answer 4

first of all, no i dont know what that is until now.
second of all, how would you know about that so called Bagatrix software? Unless you are using it yourself?