Inequalities in One Variable

Question 3 • Online Algebra, Function, Number A

The solution to an inequality is (–∞, 6.5]. Is 6.5 a solution to the inequality? Explain your answer.

Answer

The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution does not include 6.5.

The solution includes numbers from 6.5 to infinity. Because a parenthesis is used, the solution does not include 6.5.

The solution is the point (–∞, 6.5). Because a bracket is used, 6.5 is a solution to the inequality.

The solution includes numbers from negative infinity to 6.5. Because a bracket is used, the solution includes 6.5.

Explanation

The interval (–∞, 6.5] includes every number less than or equal to 6.5. The square bracket at 6.5 means that endpoint is included, so 6.5 is a solution. Choice D correctly explains this.

AI-written and checked against the verified answer.

More from this Course

Assignment

14 verified answers

Solving One-Variable Inequalities

Assignment

12 verified answers

Inequalities in One Variable

Assignment

12 verified answers

Inequalities in One Variable