SOLUTION: Graph the following inequalities: 3x - 4y < 12.
Any help with solving and graphing this equation would be greatly appreciated. Thanks.
Algebra ->
Graphs
-> SOLUTION: Graph the following inequalities: 3x - 4y < 12.
Any help with solving and graphing this equation would be greatly appreciated. Thanks.
Log On
Question 66904This question is from textbook Beginning Algebra
: Graph the following inequalities: 3x - 4y < 12.
Any help with solving and graphing this equation would be greatly appreciated. Thanks. This question is from textbook Beginning Algebra
You can put this solution on YOUR website! Graph the following inequalities: 3x - 4y < 12.
:
3x - 4y < 12
:
Put it in the general"y=" form:
-4y < 12 - 3x
We need y to be positive, multiply equation by -1, when you do this, you have to
reverse the inequality sign:
+4y > +3x - 12
y > (3/4x) - 12/4
y > .75x - 3, use decimals for convenience here.
:
Substitute these values for x and find y:
I chose a range of -4 to +8
:
x = -4, substitute -4 for x in the equation:
y = .75(-4) - 3
y = -3 - 3
y = -6
:
x = 0, do the same here
y = .75(0)- 3
y = 3
:
x = +8, and here
y = .75(8) - 3
y = 6 - 3
y = + 3
:
A table would look like:
x | y
-----
-4|-6
0|-3
+8| 3
:
Choose a convenient scale that will contained these coordinates, plot them.
Your graph should look like this:
:
Remember our equation: y > .75x - 3, the "greater than" means the area is above
but not at the line.
