Solve the following inequalities graphically in two-dimensional plane: \[3x+4y\le 12\] - Noon Academy

Solve the following inequalities graphically in two-dimensional plane:

$3x+4y\le 12$

Class 11 | Exercise 6.2 | Linear Inequalities | Maths | NCERT

Solve the following inequalities graphically in two-dimensional plane:

$3x+4y\le 12$

Solution:

The inequality given is

$3x+4y\le 12$

Let us draw a solid line

$3x+4y=12$

in the graph (∵

$3x+4y=12$

is included in the given question)

Let us consider

$3x+4y\le 12$

A point

$(0,0)$

is selected,

⇒

$3\times (0)+4\times (0)\le 12$

⇒

$0\le 12$

(this is true)

Therefore, solution region of the given inequality is below the line

$3x+4y=12$

. (That is origin is included in the region)

The graph is represented as:

i

More Material

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