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Chapter 9: Problem 12

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

Short Answer

Expert verified
The set of points that satisfy the condition \(x<0\) would be all points in the three-dimensional space where the x-coordinate is negative.

Step by step solution

01

Understanding the Three Dimensions

In a three-dimensional space, each point is represented by three coordinates, \(x\), \(y\) and \(z\). \(x\) is the horizontal axis, \(y\) is the vertical axis and \(z\) is the axis that comes out of the plane. All points \( (x, y, z) \) are a part of this three-dimensional space.
02

Analyzing the Condition

The given condition for the problem is that \(x<0\). This means that the x-coordinate of the point must be less than zero, or in other words, it must be negative.
03

Determine the Set of Points

Because only \(x\) is specified in the condition and \(x\) must be negative, it means that the set of points will have a negative x-coordinate, while \(y\) and \(z\) can be any real number as they are not restricted by any condition.

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