Solve the following system of inequalities graphically: \[x\ge 3,y\ge 2\] - Noon Academy

Solve the following system of inequalities graphically:

$x\ge 3,y\ge 2$

Class 11 | Exercise 6.3 | Linear Inequalities | Maths | NCERT

Solve the following system of inequalities graphically:

$x\ge 3,y\ge 2$

Solution:

The given inequalities are

$x\ge 3$

……… (i)

$y\ge 2$

…………… (ii)

so

$x\ge 3$

that means for any value of y the equation will be unaffected and similarly for

$y\ge 2$

, for any value of x the equation will be unaffected.

Let us putting

$x=0$

in the (i)

We get

$0\ge 3$

which is not true

Now put

$y=0$

in (ii)

We get,

$0\ge 2$

which is not true again

Which means the origin does not satisfy the inequalities.

Therefore, region to be included will be on the right side of the two equalities drawn on the graphs.

In below graph shaded region is the desired region.

i

More Material

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