Difference between revisions of "004 Sample Final A, Problem 4"
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Kayla Murray (talk | contribs) (Created page with "<span class="exam"> Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math>") |
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<span class="exam"> Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math> | <span class="exam"> Graph the system of inequalities. <math>y > 2x - 3 \qquad y \le 4-x^2</math> | ||
+ | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
+ | ! Foundations | ||
+ | |- | ||
+ | |How do we graph <math>y>x</math>? | ||
+ | |- | ||
+ | |Answer: | ||
+ | |- | ||
+ | |We replace the inequality <math>></math> with <math>=</math>. Now, we have the equation of a line. | ||
+ | |- | ||
+ | |Since the sign was <math>></math> and not <math>\geq </math>, the line is dashed. Now, since <math>y>x</math>, | ||
+ | |- | ||
+ | |we shade in the area to the left of the line. | ||
+ | |} | ||
+ | |||
+ | |||
+ | Solution: | ||
+ | |||
+ | {| class = "mw-collapsible mw-collapsed" style = "text-align:left;" | ||
+ | ! Step 1: | ||
+ | |- | ||
+ | | | ||
+ | |- | ||
+ | | | ||
+ | |} | ||
+ | |||
+ | {|class = "mw-collapsible mw-collapsed" style = "text-align:left;" | ||
+ | ! Step 2: | ||
+ | |- | ||
+ | | | ||
+ | |} | ||
+ | |||
+ | {|class = "mw-collapsible mw-collapsed" style = "text-align:left;" | ||
+ | ! Step 3: | ||
+ | |- | ||
+ | | | ||
+ | |- | ||
+ | | | ||
+ | |- | ||
+ | | | ||
+ | |- | ||
+ | | | ||
+ | |} | ||
+ | |||
+ | {|class = "mw-collapsible mw-collapsed" style = "text-align:left;" | ||
+ | ! Step 4: | ||
+ | |- | ||
+ | | | ||
+ | |- | ||
+ | | | ||
+ | |- | ||
+ | | | ||
+ | |} | ||
+ | |||
+ | {|class = "mw-collapsible mw-collapsed" style = "text-align:left;" | ||
+ | ! Final Answer: | ||
+ | |- | ||
+ | | | ||
+ | |} | ||
+ | |||
+ | [[004 Sample Final A|<u>'''Return to Sample Exam</u>''']] |
Latest revision as of 14:39, 11 May 2015
Graph the system of inequalities.
Foundations |
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How do we graph ? |
Answer: |
We replace the inequality with . Now, we have the equation of a line. |
Since the sign was and not , the line is dashed. Now, since , |
we shade in the area to the left of the line. |
Solution:
Step 1: |
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Step 2: |
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Step 3: |
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Step 4: |
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Final Answer: |
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