SOLUTION: Please show me the steps to solve this. graph the region decribed by the inequality -4>=2y Thanks so much

Question 70683: Please show me the steps to solve this.
graph the region decribed by the inequality
-4>=2y
Thanks so much
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Please show me the steps to solve this.
graph the region decribed by the inequality
-4>=2y
-----------
1st: Solve for y, as follows:
y<=-2
2nd: To graph an INequality you must first graph the corresponding EQuality.
In you case that is y=-2
Find two points to determine the line:
If x-0, y=-2 giving you point (0,-2)
If x=3, y=-2 giving you point (3,-2)
Plot those two points and draw a solid line thru them.
That is the boundary of the INequality and it is the graph of the EQuality.
Now to find the graph of the INequality:
pick a point on either side of the line, like (0,0)
Substitute those x and y values into the INequality to see if
the side that point is on is the solution side for the INequality.
If y<-2, substituting (0,0) you get 0<-2
This is false.
So the solution set is not on the (0,0) side; it is on the other side.
By the way, those sides are called half-planes.
Darken or shade or hatch the side that is the solution side.
Conclusion: The line and the correct half-plane together are the
solution set for your original problem.
Cheers,
Stan H.
Hope this helps.

RELATED QUESTIONS
Graph the line: 5x+2y=15 Please show me the steps to get the answer.... (answered by Alan3354)

Hi could you please show me the steps to evaluate log base 2? thanks so... (answered by stanbon,josmiceli)

can you please help me with this problem? Write an equation in slope intercept form for... (answered by Alan3354,stanbon)

Would someone please show me the steps to solve this linear equation please? -3(-x+4)... (answered by Electrified_Levi,jim_thompson5910,Lrahirwar)

Solve the compound inequality. Write the solution set using interval notation and graph (answered by Boreal)

solve the inequality 6+3y<4(3-x) for y and graph the solution. Please show me this step... (answered by jim_thompson5910)

I really need help.. Im doing this assighnment and I can't find any resources that have... (answered by stanbon)

Solve the given nonlinear system by the addition method. 4x^2�2y^2= �2 x^2+4y^2=40 (answered by ankor@dixie-net.com)

Please show me how to do this for my son solve and graph the inequality... (answered by Alan3354)