Question

Q2. solve graphically, the following system of inequations : 3y - 2x < 4; x+ 3y > 3; x+y ​

Answer 1

Answer:

The set of inequalities are given as,

2x+y≥4

x+y≤3

2x−3y≤6

Simplifying 2x+y≥4 by substituting different values of x and y.

When x=0, then, y=4

When y=0, then, x=2

So, the coordinates are (0,4) and (2,0).

Now, if x=0 and y=0, then,

0≥4

Which can never be true, so the graph will be shaded away the origin.

Simplifying x+y≤3 by substituting different values of x and y.

When x=0, then, y=3

When y=0, then, x=3

So, the coordinates are (0,3) and (3,0).

Now, if x=0 and y=0, then,

0≤3

Which is true, so the graph will be shaded towards the origin.

Simplifying 2x−3y≤6 by substituting different values of x and y.

When x=0, then, y=−2

When y=0, then, x=3

So, the coordinates are (0,−2) and (3,0).

Now, if x=0 and y=0, then,

0≤6

Step-by-step explanation: