Descibe in words the region of RR^{3} represented by the equation or inequality.y = -2

Wierzycaz 2021-03-02 Answered

Descibe in words the region of R3 represented by the equation or inequality.
y=βˆ’2

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Expert Answer

cheekabooy
Answered 2021-03-03 Author has 83 answers

The equation y=βˆ’2Β inΒ R3 represenrs the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
RR3 is the three dimensional coordinate system which contains x, y and z - coordinates.
The equation y=βˆ’2Β inΒ R3
represents the set (x,y,z)|y=βˆ’2,
which is the set of all points in R3 whose y - coordinate is -2 and x, z - coordinates are any values.
The equation y=βˆ’2Β inΒ R3 is sketched as shown in Figure 1
image
From Figure 1, the equation y=βˆ’2Β inΒ R3 represents the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
Thus, the equation y=βˆ’2Β inΒ R3 is described.

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