i.
To identify: The area that represents a solution to the first inequality but not the second.
The graph is shown below:
The shaded area C represents a solution to the first inequality but not the second inequality.
Given information:
The given system of inequality is:
Explanation:
Consider the given system of inequality is:
The graph of the both inequality is shown below:
Now draw the graph of both equation on a same coordinate axis.
The solution of the first inequality is the area shaded by red color.
Here it can be observed that the shaded area C represents a solution to the first inequality only.
ii.
To identify: The area that represents a solution to the second inequality but not the first.
The graph is shown below:
The shaded area A represents a solution to the second inequality but not the first inequality.
Given information:
The given system of inequality is:
Explanation:
Consider the given system of inequality is:
The graph of the both inequality is shown below:
Now draw the graph of both equation on a same coordinate axis.
The solution of the first inequality is the area shaded by red color.
Here it can be observed that the shaded area A represents a solution to the second inequality but not the first inequality.
iii.
To identify: The area that represents a solution to both inequalities.
The given graph is shown below:
The shaded area D represents a solution to the both inequities.
Given information:
The given system of inequality is:
Explanation:
Consider the given system of inequality is:
The graph of the both inequality is shown below:
Now draw the graph of both equation on a same coordinate axis.
Here it can be observed that the shaded area D represents a solution to the both inequities.
Because it is the only area which contains red and blue shaded part.
iv.
To identify: The area that represents a solution to neither inequality.
The given graph is shown below:
The shaded area B represents a solution to the neither inequity.
Given information:
The given system of inequality is:
Explanation:
Consider the given system of inequality is:
The graph of the both inequality is shown below:
Now draw the graph of both equation on a same coordinate axis.
Here it can be observed that the shaded area B represents a solution to the neither inequity.
Because this is the only area which is not shaded.
Chapter 3 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education