Question

What is the solution to |10x|greater than -2

Answer 1

The solution is:
`(-\infty, \infty)`, that is, all real values of x.

Explanation:

The modulus of a value x(|x|) is the distance of x to the origin.

A distance is a positive measure, or zero, so |x| is never a negative value.

In this problem:

|10x| > -2

Remembering that the modulus is never negative, which means that for every value of x in the real set, |10x| > -2.

So the solution is:
`(-\infty, \infty)`, that is, all real values of x.