Question

NO LINKS!! URGENT HELP PLEASE!!!

Part 2b^2
Describe the set of all points P(x, y) in a coordinate plane that satisfy the given condition.

Answer 1

Answer: B, D, A

Explanation:

1. In order to be greater than 0 when multiplying 2 numbers they must be the same sign so that happens in quadrant 1 an 3. B

2. y is negative in quadrant 3 and 4 which are below the x-axis. D

3. since x=0 is a line that goes up and down. It' along the y-axis. A

Answer 2

(d) Option 2 - The set of all points in quadrants I and III {x and y have the same sign}.

(e) Option 4 - The set of all points below the x-axis.

(f) Option 1 - The set of all points on the y-axis.

Explanation:

Question (d)

xy > 0 means that the product of x and y is positive.

This is true if both x and y have the same sign (either both positive or both negative).

In quadrant I all points have both a positive x and y coordinate.

In quadrant III all points have both a negative x and y coordinate.

Therefore, the correct answer is:

• Option 2 - The set of all points in quadrants I and III {x and y have the same sign}.

`\hrulefill`

Question (e)

y < 0 means that y is negative.

All points above the x-axis have a positive y-coordinate.

All points below the x-axis have a negative y-coordinate.

The y-coordinate of all points on the x-axis is equal to zero.

Therefore, the correct answer is:

• Option 4 - The set of all points below the x-axis.

`\hrulefill`

Question (f)

x = 0 means that x is equal to zero.

All points on the x-axis have:

• An x-coordinate of all real values.
• A y-coordinate of y = 0.

All points on the y-axis have:

• An x-coordinate of x = 0.
• A y-coordinate of all real values.

The coordinates of the origin are (0, 0).

Therefore, the correct answer is:

• Option 1 - The set of all points on the y-axis.