3y-2 > 5y ,graph the solution. I would like to know how to solve it.step by step?

Answer 1

3y-2 > 5y flip equation around next
5y < 3y-2 subtract 3y from both sides
5y - 3y < 3y - 3y -2 simplify
2y < -2 divide both sides by 2
2y/2 < -2/2 simplify
y < -1

Now you would draw the horizontal line that intersects the y-axis at -1 to show the boundary (and do it as a dotted line to show that the inequality doesnt say that y can equal -1). Next shade everything below that line to show that all those values are valid.

Answer 2

3y-2>5y
-2>5y-3y
-2>2y
(dividing both sides by 2(to get y as the only one))
-1>y
y<-1

Now you would draw the horizontal line that intersects the y-axis at -1 to show the boundary (and do it as a dotted line to show that the inequality doesnt say that y can equal -1). Next shade everything below that line to show that all those values are valid.

Answer 3

3y - 2 > 5y
-2y > 2
y < -1

shade the area below -1