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Chapter 4: Q. 555 (page 558)

Explain why in some graphs of linear inequalities the boundary line is solid but in other graphs it is dashed.

Short Answer

Expert verified

Based on the inequality, it is determined whether the boundary line is solid or dashed.

  • If the inequality is 鈮�or 鈮�, then the boundary line is solid.
  • If the inequality is <or >, then the boundary line is dashed.

Step by step solution

01

Step 1. Given information

We need to explain why in some graphs of linear inequalities the boundary line is solid but in other graphs it is dashed.

02

Step 2. Definition for inequality

In mathematics, the term 'Inequality' means the relation between two expressions that are not equal, employing a sign such as 鈮�鈥榥ot equal to鈥�, >鈥榞reater than鈥�, or <鈥榣ess than鈥�.

03

Step 3. Explanation for the graphs of linear inequalities

Based on the inequality, it is determined whether the boundary line is solid or dashed.

  • If the inequality is 鈮�or 鈮�, then the boundary line is solid.
  • If the inequality is<or>, then the boundary line is dashed.

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