Question

solve the system of inequality graphically x-2y>2,-3x+2y<3 ,2x+3y<12,2x+3y>6​

Answer 1

Answer:

First we solve x−2y≤3

Lets first draw graph of 

x−2y=3

Putting x=0 in (1)

0−2y=3

−2y=3

y=−23

y=−1.5

Putting y=0 in (1)

x−2(0)=3

x−0=3

x=3

Refer image 1.

xy0−1.530

Points to be plotted are 

(0,6),(3,0)

Checking for (0,0)

Putting x=0, y=0

x−2y≤3

0−2(0)≤3

0≤3

Which is true Hence origin lies in plane x−2y≤3

So, we shade left of line

Now we solve 3x+4y≥12

Lets first draw graph of

3x+4y=12

Putting x=0 in (1)

3(0)+4y=12

0+4y=12

4y=12

y=412

y=3

Putting y=0 in (1)

3x+4(0)=12

3x+0=

Step-by-step explanation:

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Answer 2

Answer:

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Step-by-step explanation:

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