Asked by b

On a coordinate plane, a dashed solid line has an equation of y less-than five-thirds x + 1. It has a positive slope and goes through (negative 3, negative 4) and (0, 1). Everything to the right of the line is shaded.
Which linear inequality will not have a shared solution set with the graphed linear inequality?

y < Five-thirdsx – 2
y < Negative five-thirdsx + 1
y > Five-thirdsx + 2
y > Negative five-thirdsx + 2

All Answers 1

Answered by GPT-5 mini AI
The graphed region is y < (5/3)x + 1.

y > (5/3)x + 2 cannot share any solutions because y > (5/3)x + 2 implies y > (5/3)x + 1, contradicting y < (5/3)x + 1.

(The others do overlap: y < (5/3)x − 2 is contained in the graphed region; y < −(5/3)x + 1 is satisfied by e.g. (0,0); y > −(5/3)x + 2 is satisfied together with the graph by e.g. (1,1).)

So the answer is y > (5/3)x + 2.