
To graph: The inequality

Explanation of Solution
Given information:
The inequality given here is
Graph:
The graph of the above inequality is obtained as below.
The solution of the inequality is the set of all ordered pair of numbers such that it satisfies the inequality. In case of single variable inequality, it is those values of that variable which satisfy this inequality. In case of two variable inequality , the graph is some portion of the number line and in case of two variable inequality, it is the graph on a plane .
These are the steps to be followed in order to graph any inequality.
(i) Replace the inequality symbol with an equal sign and plot the obtained equation.
(ii) Take any point in one of the half plane of that line to see if it satisfies the inequality.
(iii) If the chosen point satisfies the inequality, then this half plane is the solution. Else, the other half plane is the solution of that inequality.
Interpretation:
First , the equation
The graph of the above inequality is obtained as below.
The solution of the inequality is the set of all ordered pair of numbers such that it satisfies the inequality. In case of single variable inequality, it is those values of that variable which satisfy this inequality.In case of two variable inequality , the graph is some portion of the number line.and in case of two variable inequality, it is the graph on a plane .
These are the steps to be followed in order to graph any inequality.
(iv) Replace the inequality symbol with an equal sign and plot the obtained equation.
(v) Take any point in one of the half plane of that line to see if it satisfies the inequality.
(vi) If the chosen point satisfies the inequality, then this half plane is the solution. Else, the other half plane is the solution of that inequality.
Chapter 2 Solutions
Glencoe Algebra 2 Student Edition C2014
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