Question

Which of the following points is a solution of 2x > 3y + 4?

Answer 1

the way to find out is to solve, but are we solving for x or y? Or both

Answer 2

both i think

Answer 3

ok
2x>3y+4
x>3y/2+2 Now substitue for x
2(3y/2+2)>3y+4 Now distribute
6y/2+4>3y+4
3y+4>3y+4
there is no y so there cant be a x understand?

Answer 4

\so their is no solution

Answer 5

2x>3y+4
or2x-3y>4
we plot 2x-3y=4
x=3y/2+2
when y=0,x=2
when y=2,x=5
when y=-2,x=-1
Plotting the graph

Putx=0,y=0 in2x>3y+4
0>0+4
which is not true,hence (0,0) does not lie on the graph.
shaded portion is the required solution.
Any point in the shaded region satisfies the above solution.