Solve the given inequalities

Question:

Solve the given inequalities $x+y \leq 9, y

 

Solution:

The graphical representation of $x+y \leq 9, y

$x+y \leq 9 \ldots \ldots$ (1)

$y

$x \geq 0 \ldots \ldots$ (3)

Inequality (1) represents the region below line $x+y=9$ (including the line $x+y=9$ ).

Inequality (2) represents the region below line $x=y$ (excluding the line $x=y$ ).

Inequality (3) represents the region in front of line $x=0$ (including the line $x=0$ ).

Therefore,every point in the common shaded region including the points on the respective lines represents the solution for the given inequalities.

This can be represented as follows,

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