Query about Question 17 from "PrepSwift Quant Tickbox Quiz #8 (Coordinate Geometry Column 2)" [6591]

GRE GRE Quant Problem Solving
1

https://www.gregmat.com/quizzes/quiz/prepswift-quant-tickbox-quiz-8-coordinate-geometry-column-1 (Question 17)

write your question here… why are we shading left instead of right since there is less than symbol?

2

You have it the other way round.

Try to think of the inequality graph :bar_chart: as a fraction ie numerator, the division bar and the denominator.

For all lines except vertical lines

  1. Shade the numerator side if y > mx + c
  2. Shade the denominator side if y < mx + c

For vertical lines,

  1. Shade right for y > mx + c.
  2. Shade left for y < mx + c

***y must be on the LHS of the inequality.

***You can also test coordinates if all of this is still confusing.