Solve the following inequalities graphically in two-dimensional plane: \[x+y<5\] - Noon Academy

Solve the following inequalities graphically in two-dimensional plane:

$x+y<5$

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

Solve the following inequalities graphically in two-dimensional plane:

$x+y<5$

Solution:

Given inequality

$x+y<5$

Now consider,

X	$0$	$5$
y	$5$	$0$

Let us draw a dotted line

$x+y=5$

in the graph (∵

$x+y=5$

is excluded in the given question)

Let us take

$x+y<5$

A point

$(0,0)$

is selected,

⇒

$0+0<5$

⇒

$0<5$

(this is true)

Therefore, the solution region of

$x+y<5$

is below the line

$x+y=5$

. (That is origin is included in the region)

The graph is represented as:

i

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