Solve the following inequalities graphically in two-dimensional plane: \[y+8\ge 2x\] - Noon Academy

Solve the following inequalities graphically in two-dimensional plane:

$y+8\ge 2x$

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

Solve the following inequalities graphically in two-dimensional plane:

$y+8\ge 2x$

Solution:

The given inequality is

$y+8\ge 2x$

Let us draw a solid line

$y+8=2x$

in the graph (∵

$y+8=2x$

is included in the given question)

Let us Consider

$y+8\ge 2x$

A point

$(0,0)$

⇒

$(0)+8\ge 2\times (0)$

⇒

$0\le 8$

(this is true)

Therefore, Solution region of

$y+8\ge 2x$

is above the line

$y+8=2x$

. (That is origin is included in the region)

The graph is represented as:

i

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