SOLUTION: Graph the solution set of x + 2y less than or equal to 3 x + 2y is less than or equal to 4

Algebra ->  Graphs -> SOLUTION: Graph the solution set of x + 2y less than or equal to 3 x + 2y is less than or equal to 4      Log On


   



Question 184415: Graph the solution set of x + 2y less than or equal to 3
x + 2y is less than or equal to 4

Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

x%2B2y%3C=3, EQN 1
x%2B2y%3C=4, EQN 2
In EQN 1, we get
2y%3C=3-x----->cross%282%29y%2Fcross%282%29=%283-x%29%2F2
y=%283%2F2%29-%281%2F2%29x, EQN 1.1
We see the graph:

*NOTE: Values of (x,y) SHOULD TOUCH THE GREEN LINE (or ABOVE or RIGH)to satisfy the equation.
.
Also in EQN 2:
2y%3C=4-x-----> cross%282%29y%2Fcross%282%29=%284-x%29%2F2
y=%284%2F2%29-%281%2F2%29x
y=2-%281%2F2%29x, EQN 2.2
We see the graph:
*NOTE: Values of (x,y) SHOULD TOUCH THE GREEN LINE (OR ABOVE OR RIGHT) to satisfy the equation.
Thank you,
Jojo