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Chapter 4: Problem 8

In Exercises \(5-8\), state whether the boundary of the graph of the inequality should be dashed or solid. $$ 2 x+3 y>6 $$

Short Answer

Expert verified
The boundary line on the graph of the inequality \(2x + 3y > 6\) should be dashed.

Step by step solution

01

Identify the inequality operator

Observing the inequality, the operator in use is '>'. This operator does not include the value it is being compared with.
02

Determine boundary representation

As identified in step 1, because the inequality operator is '>' (and not '鈮�'), the boundary (the line corresponding to \(2x + 3y = 6\)) is not part of the solution set of the inequality. Therefore, the boundary should be represented as a dashed line on the graph rather than a solid line.

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