Problem 134
Question
When graphing the solutions of an inequality, what does a parenthesis signify? What does a square bracket signify?
Step-by-Step Solution
Verified Answer
A parenthesis '(' signifies that the endpoint is not included in the solution, while a square bracket ']' indicates that the endpoint is included in the solution to the inequality.
1Step 1: Understanding Parentheses in Inequalities
A parenthesis is used to represent that the endpoint is not included in the solution to the inequality. For instance, when graphing an inequality such as \(x > 3\), a parenthesis '(' would be used on the number line above the number '3' to indicate that '3' itself is not a part of the solution.
2Step 2: Understanding Square Brackets in Inequalities
A square bracket is used to represent that the endpoint is included in the solution to the inequality. That is to say, the value is equal to or less/greater than the endpoint. For example, in the inequality \(x \geq 3\), a square bracket ']' would be used on the number line above the number '3' to indicate that '3' itself is a part of the solution.
Other exercises in this chapter
Problem 133
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will help you prepare for the material covered in the next section. If the width of a rectangle is represented by \(x\) and the length is represented by \(x+200
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Describe ways in which solving a linear inequality is similar to solving a linear equation.
View solution Problem 136
Describe ways in which solving a linear inequality is different than solving a linear equation.
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