SOLUTION: Graph the inequality y is less than 2x + 2 Graph the inequality 2x is less than 3y + 6

Question 258159: Graph the inequality y is less than 2x + 2
Graph the inequality 2x is less than 3y + 6
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Graph the inequality y is less than 2x + 2
---
1st: Graph the boundary, which is y = 2x+2, as a dashed line.

2nd: Shade the half-plane BELOW the boundary because you
want y to be LESS than 2x+2.
-----

==============================================================

Graph the inequality 2x is less than 3y + 6
---
1st Solve for "y"
2x < 3y+6
3y > -2x - 6
y > (-2/3)x - 2
---
2nd: Graph the boundary, which is y = (-2/3)x-2, as a dashed line.

---
3rd: Shade the half-plane ABOVE the boundary because you
want y to be GREATER than the boundary y-values.

======================================================
Cheers,
Stan H.

RELATED QUESTIONS
graph the linear inequality for 2x less than 3y +... (answered by Fombitz)

graph the inequality; y is less than -5/2x... (answered by stanbon)

Graph the inequality on a plane 2x + 3y (is less than or equal to) 6 (answered by stanbon)

Graph the inequality on a plane 2x+3y is less than or equal to 6 Thank... (answered by Fombitz)

Graph the compound inequality. 1. x+2y less than -4 and 2x-3y less than... (answered by Shin123)

Graph the inequality for why is less than or equal to negative 2X... (answered by ikleyn)

Graph each compound inequality. Due tonight. 4x - 3y < 3 or 2x + y > 2 (Please... (answered by stanbon)

Can anyone help me graph this inequality? y is less than or equal to 2x + 1 (answered by MathLover1)

Solve the compound inequality. Graph the solution set. -8 is less than or equal to 2x-4... (answered by MathLover1)