Respuesta :

answer:

e: parallel intersects above (0,1) and f: on the x-axis

step-by-step explanation:

y>1 is the points above the x-axis and are parallel to the x-axis. perpendicular would be (for example): x>1. they intersect here.

y=0 is literally on the x-axis. like, (5,0) and (-1,0). on the axis, but not on the origin (0,0).

Answer:

(e)  The set of all points above the line parallel to the x-axis which intersects the y-axis at (0, 1).

(f)  The set of all points on the x-axis.

Step-by-step explanation:

Part (e)

Given condition:  y > 1

Equation of a horizontal line:

  • [tex]y = a[/tex]  

A horizontal line is parallel to the x-axis.

A horizontal line intersects the y-axis at (0, a).

The ">" symbol means greater than.

Therefore, y > 1 means y is greater than 1.

Therefore, the description that satisfies the given condition is:

  • The set of all points above the line parallel to the x-axis which intersects the y-axis at (0, 1).

Part (f)

Given condition:  y = 0

y is equal to zero for all points on the x-axis.

Therefore, the description that satisfies the given condition is:

  • The set of all points on the x-axis.