Exercises 57-62: Write the given inequality in interval notation. x<(7)/(2)

Name: Problem 59, Chapter 8: Beginning and Intermediate Algebra with Applications & Visualization
Uploaded: 2021-05-21T02:10:45-08:00
Duration: 2 min 32 s
Channel: Nick Johnson
Description: Exercises 57-62: Write the given inequality in interval notation. x<(7)/(2)

step 1 Hello. So here we have the inequality. We have three divided by two x minus seven is less than n

Exercises 57-62: Write the given inequality in interval...

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Key Concepts

Inequalities

Inequalities are mathematical expressions that involve a relation where one quantity is greater than or less than another. They define a set of values that satisfy a condition, rather than a single value, by using symbols such as <, >, ?, or ? to express these relationships.

Interval Notation

Interval notation is a concise way of representing sets of numbers that satisfy a condition, particularly in the context of inequalities. It uses parentheses and brackets to denote the endpoints of intervals, allowing a clear and compact expression of which numbers are included or excluded from the solution set.

Open and Closed Intervals

Open and closed intervals refer to whether the endpoints of an interval are included in the set or not. In interval notation, parentheses indicate that an endpoint is not included (open interval) whereas brackets indicate that an endpoint is included (closed interval). The type of inequality, such as a strict inequality (< or >) or a non-strict inequality (? or ?), determines whether the endpoint appears with a parenthesis or a bracket.

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