Question

Give a unique example of each:
1. An absolute value equation with two solutions
2. An absolute value equation with one solution
3. An absolute value equation with no solutions

Answer 1

|2x-7|>10

Answer 2

sorry, it is |2x-7| = 10

Answer 3

for 3 it is |x+3| = -2

Answer 4

for the second one
|x| = 0

Answer 5

also |x-2|=x+7 works too
x-2=x+7 x-2=-x-7
0=9 2x=-5
no solution here x=-5/2
this one works for 2nd one too

Answer 6

but |x|=0 is easiest