Asked by The Gibson Family on May 30, 2024
Verified
Determine all possible quadrants in which the point can be located. Assume x≠0x \neq 0x=0 and y≠0y \neq 0y=0 . (x,y) ,x+y<0( x , y ) , x + y < 0(x,y) ,x+y<0
A) Quadrants II, III and IV \text { II, III and IV } II, III and IV
B) Quadrants II and III
C) Quadrants I, II and IV \text { I, II and IV } I, II and IV
D) All quadrants
E) Quadrants I and II
Quadrants
The four sections of the Cartesian plane, divided by the x and y axes, used to classify the position of points.
Assume
To accept something to be true without verification or proof, often used in the context of mathematical proofs and hypotheses.
- Decode the quadrant positioning of a point via inspection of its coordinates.
Verified Answer
ZK
Zybrea KnightJun 05, 2024
Final Answer :
A
Explanation :
Since x+y<0x+y<0x+y<0 , we know that the sum of the coordinates is negative, meaning the point is below the x-axis. Therefore, it cannot be in Quadrant I. Also, since x<0x<0x<0 , we know the point is to the left of the y-axis, so it cannot be in Quadrant IV. However, the point can be in either Quadrant II or III, since both have negative values for y. Therefore, the answer is A) Quadrants II, III, and IV.
Learning Objectives
- Decode the quadrant positioning of a point via inspection of its coordinates.
Related questions
Determine the Quadrant in Which the Point Is Located Without \(\left( ...
Determine the Quadrant in Which the Point Is Located Without \(( ...
Determine All Possible Quadrants in Which the Point Can Be \(y ...
Find the Coordinates of the Point Located 2 Units to ...
Determine the Coordinates of the Point Labeled 2 \(( 3 , ...