a.
Tabular : Express each statement using an inequality involving absolute value. Do not solve. Copy and complete the table .Substitute the x and
a.
Answer to Problem 42PPS
Point | True/false | True/false | ||
(-4,2) | true | false | ||
(-2,2) | true | false | ||
(0.2) | true | false | ||
(2,2) | true | false | ||
(4,2) | false | true |
Explanation of Solution
Given:Given table is given below.
Calculation:
Fill in the table by substituting each point into the given inequalities determining if the inequalities are true or false.
Point | True/false | True/false | ||
(-4,2) | true | false | ||
(-2,2) | true | false | ||
(0.2) | true | false | ||
(2,2) | true | false | ||
(4,2) | false | true |
b.
You will investigate the graphs of linear inequalities on a coordinate plane.
Graphical : Graph
b.
Answer to Problem 42PPS
Explanation of Solution
Given:Graph
Calculation:
Conclusion:
c.
You will investigate the graphs of linear inequalities on a coordinate plane.
Graphical:Plot each point from the table that made
c.
Answer to Problem 42PPS
Explanation of Solution
Given:Plot each point from the table that made
Calculation:
Conclusion:
d.
Logical :Make a conjecture about what the graphs of
d.
Answer to Problem 42PPS
The graph of
Explanation of Solution
Given:Make a conjecture about what the graphs of
Calculation:
The graph of
Point | True/false | True/false | ||
(5,0) | false | true | ||
(5,2) | false | true | ||
(0.1) | true | false | ||
(-2,-1) | true | false | ||
(1,-2) | false | true |
e.
Logical :Use what you discovered to describe the graph of a linear inequality.
e.
Answer to Problem 42PPS
If a linear inequality is of the form
Explanation of Solution
Given::Use what you discovered to describe the graph of a linear inequality.
Calculation:
If a linear inequality is of the form
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