1. The problem involves two inequalities: $x \geq 0$ and $y \geq 0$.
2. These inequalities represent the constraints on the variables $x$ and $y$. Specifically, $x \geq 0$ means $x$ must be zero or positive, so the shading is to the right of the $y$-axis (including the axis).
3. Similarly, $y \geq 0$ means $y$ must be zero or positive, so the shading is above the $x$-axis (including the axis).
4. Together, these inequalities restrict the solution to the first quadrant of the coordinate plane, where both $x$ and $y$ are non-negative.
5. Without additional constraints or an objective function, the number of tables ($x$) and chairs ($y$) the store could sell is unlimited in the first quadrant.
6. If there were further constraints or a maximum total, those would limit the feasible region and the maximum number of tables and chairs.
7. To summarize:
- Inequality 1: $x \geq 0$, shade to the right of the $y$-axis.
- Inequality 2: $y \geq 0$, shade above the $x$-axis.
- The feasible region is the first quadrant.
- Without more constraints, the store can sell any non-negative number of tables and chairs.
Inequalities Shading E93712
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