004 Sample Final A, Problem 4

Graph the system of inequalities. $y>2x-3\qquad y\leq 4-x^{2}$

Foundations
How do we graph $y>x$?
Answer:
We replace the inequality $>$ with $=$. Now, we have the equation of a line.
Since the sign was $>$ and not $\geq$, the line is dashed. Now, since $y>x$,
we shade in the area to the left of the line.

Solution:

Step 1:

Step 2:

Step 3:

Step 4:

Final Answer:

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