# 004 Sample Final A, Problem 4

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

Foundations
How do we graph ${\displaystyle y>x}$?
We replace the inequality ${\displaystyle >}$ with ${\displaystyle =}$. Now, we have the equation of a line.
Since the sign was ${\displaystyle >}$ and not ${\displaystyle \geq }$, the line is dashed. Now, since ${\displaystyle y>x}$,