nicekikah
2021-02-22
Answered

Describe in words the region of ${R}^{3}$ represented by the equation(s) or inequality.

$x=5$

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Layton

Answered 2021-02-23
Author has **89** answers

1) Concept:

The equation of the plane parallel to yz- plane is$x=a$

2) Given:

$x=5$

3) Calculation:

The given equation is$x=5$

The equation$x=5$ represents the set of all points in ${R}^{3}$ whose x coordinate is 5.

That is$(x,y,z)|\text{}x=5,y\in R,z\in R$

This is a plane which is parellel to yz plane and five units in front of it.

Therefore,

$x=5$

represents a plane in${R}^{3}$ parallel to yz plane and five units in front of it.

Conclusion:

$x=5$

represents a plane in${R}^{3}$ parallel to yz plane and five units in front of it.

The equation of the plane parallel to yz- plane is

2) Given:

3) Calculation:

The given equation is

The equation

That is

This is a plane which is parellel to yz plane and five units in front of it.

Therefore,

represents a plane in

Conclusion:

represents a plane in

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