SOLUTION: Graph each inequality (Linear Inequalities in two variables) A. x - y > 4 B. 2x - y &#8805; 2 C. x + y &#8804; 3 D. 3x - 2y > 6 E. x + 2y < 4

Algebra.Com
Question 992776: Graph each inequality (Linear Inequalities in two variables)
A. x - y > 4
B. 2x - y ≥ 2
C. x + y ≤ 3
D. 3x - 2y > 6
E. x + 2y < 4

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Graph each inequality (Linear Inequalities in two variables)
A. x - y > 4
B. 2x - y ≥ 2
C. x + y ≤ 3
D. 3x - 2y > 6
E. x + 2y < 4
------
For each of these do the following::
(I'll use 3x-2y > 6)
1st: Solve for "y":
y < (3x-6)/2
2nd: Graph the EQUALITY (this is the boundary for the Inequalities)
y = (3/2)x - 3
Since your inequality does not include equality, graph
the boundary as a dashed line::
3rd: If your inequality says "y is Less than.." shade the
half-plane BELOW the boundary; If you inequality says "y is
Greater than..." shade the half-plane ABOVE the boundary.
---

---------
Cheers,
Stan H.
---------

RELATED QUESTIONS

Solve the following system of inequalities by graphing. draw a graph 5x - 4y ≥ -20 (answered by MathLover1)
Solve each of the following systems of linear inequalities graphically. 9. x – 2y... (answered by jim_thompson5910)
I don't understand these types of problems? Please help! Graph each system of... (answered by Alan3354)
Which system of inequalities are represented in this graph linked below?... (answered by josgarithmetic,Theo)
6. The following are system of linear equation in two variables, except. a.... (answered by Edwin McCravy)
Graph the solution set for the system of inequalities a) 2x-y Greater of Equato to 4... (answered by lynnlo)
Graph the solution set for the system of inequalities a) 2x-y Greater of Equato to 4... (answered by lynnlo)
Help Needed; Graph the feasible region for the system of inequalities. 2y + x... (answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing. x – y ≤ 3 (answered by elima)