Question

A little more help, anyone? This one is just like the last question I asked :(
What is the solution set of |x – 6| = 10?

Answer 1

Geometrically, this is asking "what are the points on the number line, x, that are exactly a distance 10 from the point 6"

So draw a number line and figure it out. Tell me what you get then I'll show you the algebraic way to get the answer.

Answer 2

or you can use this rule

if |x| = k for some positive number k, then x = k or x = -k

so...

|x-6| = 10

turns into

x-6 = 10 or x-6 = -10

solve each for x

Answer 3

x=16 or x=-4

Answer 4

good on both

Answer 5

Awesome!