Question

What is the solution set of |x – 6| = 10?

Answer 1

(x-6)=10
or

-(x-6)=10

Answer 2

this
-(x-6)=10

turns to
(x-6)=-10

Answer 3

|x-6|=10

Remove the absolute value term. This creates a \ on the right-hand side of the equation because |x|=\x.
x-6=\(10)

Set up the portion of the \ solution.
x-6=10

Move all terms not containing x to the right-hand side of the equation.
x=16

Set up the - portion of the \ solution.
x-6=-(10)

Multiply -1 by the 10 inside the parentheses.
x-6=-10

Since -6 does not contain the variable to solve for, move it to the right-hand side of the equation by adding 6 to both sides.
x=6-10

Subtract 10 from 6 to get -4.
x=-4

The solution to the equation includes both the positive and negative portions of the solution.
x=16,-4

Answer 4

\[|x-6| = 10 \implies x - 6 = 10 \ \ \text{ or }\ \ x - 6 = -10\]

Answer 5

got it

Answer 6

yeah thanks

Answer 7

ok any more questions ?