Solve the following inequalities graphically in two-dimensional plane:
2x – 3y > 6

Question

Solve the following inequalities graphically in two-dimensional plane: 2x – 3y > 6

Philoid · Accepted Answer

Given: 2x – 3y > 6

Consider: 2x – 3y = 6

X	0	3
Y	-2	0

Now draw a dotted line 2x – 3y = 6 in the graph (∵2x – 3y = 6 is excluded in the given question)

Now Consider 2x – 3y > 6

Select a point (0,0)

⇒ 2 × (0) – 3 × (0) > 6

⇒ 0>5 (this is false)

∴ Solution region of the given inequality is below the line 2x – 3y > 6. (Away from the origin)

The graph is as follows:

Solve the following inequalities graphically in two-dimensional plane:2x – 3y > 6