Solve the following inequalities graphically in two-dimensional plane: \[y-5x<30\] - India Site

Solve the following inequalities graphically in two-dimensional plane: \[y-5x<30\]

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

Solve the following inequalities graphically in two-dimensional plane: \[y-5x<30\]

Solution:

The given inequality is \[y-5x<30\]

Let us draw a dotted line \[3y-5x=30\] in the graph (∵\[3y-5x=30\] is excluded in the given question)

Let us Consider \[3y-5x<30\]

A point \[(0,0)\] is selected,

⇒ \[3\times (0)-5\times (0)<30\]

⇒ \[0<30\] (this is true)

Therefore, the solution region of \[y-5x<30\] is below the line \[3y-5x<30\]. (That is origin is included in the region)

The graph is represented as:

i

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