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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