SOLUTION: Graph the inequality: x - 2y < 4 if x > -3 and y &#8804; 5

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Question 356879: Graph the inequality: x - 2y < 4 if x > -3 and y ≤ 5
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,

Graph the inequality: x - 2y < 4 

multiply thru by -1 (changes the direction of the inequality)

-x + 2y > -4

y > x/2 -2

Note the red line is the graph of y = x/2 -2. blue line is x =3. green line y=5

To Graph the inequality: x - 2y < 4 if x > -3 and y ≤ 5, one would shade the triangular area 

that is above the red line, below and including the green line and is right of the blue line.