Solving inequation for graph
Given 3x+2y>6
Let first draw graph of 3x+2y=6 ....(1)
Putting x=0 in equation (1) | Putting y=0 in equation (1) |
⇒3(0)+2y=6 | ⇒3x+2(0)=6 |
⇒2y=6 | ⇒3x=6 |
⇒y=3 | ⇒x=2 |
Hence,
Drawing graph.
Points to be plotted are (0,3),(2,0)
Solve for Required region
Checking for origin (0,0)
Putting x=0,y=0 in the given inequality,
3x+2y>6
3(0)+2(0)>6
0>6 (False)
∴Origin does not lie in plane 3x+2y>6
So, we shade right side of line 3x+2y=6
which does not contain origin.
Final answer :