To Graph: The given inequality by using the hand sketch and state the boundary region.
The boundary
Given Information:
The inequality is defined as,
Explanation:
Consider the given inequality,
Replacing the inequality symbol with the = symbol, the equation for the boundary is
Now, find the intercept of the line. Substitute 0 for x and then 0 for y in the line one by one.
And,
Therefore, the intercept is
The boundary point is included if the inequality containing
As the less then equal to symbol was used, then the boundary is included in the graph and drawing it by using solid line. To determine the half-plane to be shaded, use a test point not on the boundary, say
The statement is true so shade the half-plane where
is located. The graph will be:
Hence, the required graph is shown above and the boundary
Chapter 7 Solutions
PRECALCULUS:GRAPHICAL,...-NASTA ED.
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