To graph: The given inequality.
Explanation of Solution
Given Information:
The inequality to be graphed is
Method used: Here, there are two unknown variables and one equation. Hence, the graph is plotted by expressing y as a function of x .
The equation can be rearranged as follows. To begin with, the term − x is added to both sides of the inequality and by doing so, there occurs no change in the inequality.
Now, dividing both sides by 2 gives the final equation as,
This is of the form of equation of straight line y=mx+c, but the equality is replaced by the inequality and here it implies the values of y in the area under the graph of the straight line
The graph can be obtained as follows.
Interpretation The graph of the inequality consists of the region under the straight line
Chapter 3 Solutions
Glencoe Algebra 2 Student Edition C2014
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