3y≤6x+4

Q: solve 3y<6x+4

3y≤6x+4

3y≤6x+4

A: The question asks for all the values of x and y that fulfill the equations.

First solve for 3y = 6x + 4 -> y = 2x + (4/3).

On a cartisean coordinate system this equation splits the graph into three regions. The line graphed by the above equation, all the points below it and all the point above it. y < 2x + (4/3) represents all the points below it. y <= 2x + (4/3) represents all the points below the line and including the line.

You can graph the line by finding the x and y intercepts. The y intercept is found by setting x to zero giving: (0, 4/3). The x intercept is found by setting y to zero giving: (-2/3,0).