Difference between revisions of "004 Sample Final A, Problem 4"

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! Foundations
 
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|How do we graph <math>y>x</math>?
 
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|Answer:
 
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|We replace the inequality <math>></math> with <math>=</math>. Now, we have the equation of a line.
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|Since the sign was <math>></math> and not <math>\geq </math>, the line is dashed. Now, since <math>y>x</math>,
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|we shade in the area to the left of the line.
 
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Latest revision as of 14:39, 11 May 2015

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

Foundations
How do we graph 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} ?
Answer:
We replace the inequality 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 >} with 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 =} . Now, we have the equation of a line.
Since the sign was 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 >} and not 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 \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:

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