 # 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 ${\mathbb{R}}^{\mathbb{3}}$ represented by the equation or inequality.
$y=-2$

You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it cheekabooy

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.