Question

A system of linear inequalities is shown below:

y − x > 0
y − 1 > 0

Which of the following graphs best represents the solution set to this system of linear inequalities?
http://prntscr.com/bu113r
http://prntscr.com/bu117n

Answer 1

@.Sam. @sammixboo @zpupster @Ciarán95

Answer 2

@mayankdevnani

Answer 3

so from the first equation result

y -x > 0 => y > x so y greater than x

and from second one result that than y-1>0 so y>1 so y is greater than 1

using this results how you think what graph best represent the solution set of system ?

hope this helped you

Answer 4

@jhonyy9 C?

Answer 5

Or a?

Answer 6

Yes, the correct answer is A @OswaldMurphy . From the first inequality, we can rearrange to give us y > x. This is essentially the region to the left of the line x = y, which runs diagonally through the origin (0,0) on any graph. It is shown in the shaded region below:


For the second inequality, with rearranging once more we get y > 1. This describes the region lying above the horizontal line with runs through the point y = 1, as shown below:



So, when we look for the solution to these inequalities, we are looking for the region in which both of them 'overlap' with one another. Based on the two graphs above,, you should hopefully be able to see why A is the correct answer! :)