Question

Determine the location of a point \((x, y, z)\) that satisfies the condition(s). \(y<0\)

Short answer

The required location is anywhere in the three-dimensional space where the \(y\) coordinate is less than 0, irrespective of the values of \(x\) and \(z\). They can be any real numbers.

Step-by-step solution

Understanding the Condition

The given condition is \(y<0\). This means that the value of coordinate \(y\) should be less than 0.

Identifying the Location

Any point \((x, y, z)\) in the three-dimensional space which has its \(y\) coordinate less than zero will satisfy the given condition. There is no restriction placed on the values of \(x\) and \(z\), Therefore, they can be any real numbers. But the \(y\) coordinate must be less than 0.