Question

Give a unique example of each:

An absolute value equation with two solutions
An absolute value equation with one solution
An absolute value equation with no solutions

Answer 1

@Defcon_Infinity i can answer your question if you like
@antonio0330
a) pick anything, set it equal to a positive number
b) pick anything, set it equal to zero
c) pick anything, set it equal to a negative number

Answer 2

@satellite73 Please do!! Sorry about posting on your question without providing an answer, antonio, but I could really use some help :]

Answer 3

meet you back at your question then
@antonio0330 did you understand my answer?

Answer 4

Try sketching the graph, it may help.
a) f(x) = |x|-2 (Translate the graph of y=|x| down so that it cuts the x-intercepts at two points, when you solve it, you should get x = 2 or -2)
b) f(x) = |x| (Graph cuts the axis at (0, 0) there's only one solution)
c) f(x) = |x| + 2 (Translate the graph of y=|x| up so that it does not cut the x-intercepts, when you solve it, |x| cannot be equals to -2, hence no solutions)