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

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

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The equation represenrs the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
$R{R}^{3}$ is the three dimensional coordinate system which contains x, y and z - coordinates.
The equation
represents the set $\left(x,y,z\right)|y=-2$,
which is the set of all points in ${\mathbb{R}}^{\mathbb{3}}$ whose y - coordinate is -2 and x, z - coordinates are any values.
The equation is sketched as shown in Figure 1

From Figure 1, the equation represents the vertical plane that is parallel to the xz - plane and it locates 2 units left to the xz - plane.
Thus, the equation is described.