Question

What is the solution of |x – 2| > –3? Explain.

Answer 1

the absolute value of any number is never negative

it's either 0 or positive

so |x-2| is either 0 or positive

Answer 2

which means |x-2| is always greater than any negative number...especially -3

Answer 3

Can you explain this more?

Answer 4

|x-2| > -3 would have infinitely many solutions because no matter what value you plug in for x, |x-2| will always be some number greater than -3

this is because |x-2| is either 0 or positive for any value of x

Answer 5

jim is telling you that the equation is true for all x
-infinity < x < + infinity