Question

What is the solution set of |–x| = –10?

{10}

{–10}
{–10, 10}
no solution

Answer 1

no solution

Explanation:

Modular equation:

The modular of a function f(x)(|f(x)|) is the distance of f(x) to the origin.

In the case of a point, the modulus of the point is the distance to the origin.

If we have:

|f(x)| = a, it means that:

f(x) = a or f(x) = -a.

However

It is only true for non-negative values of a, since the modulus is a distance, which is a positive measure.

|–x| = –10

The modular is never a negative number, so it cannot be -10.

This means that there is no solution.