004 Sample Final A, Problem 4

Graph the system of inequalities. Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle y>2x-3\qquad y\leq 4-x^{2}}

Foundations
How do we graph Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "Cannot get mml. Server problem."): {\displaystyle 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 Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 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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