Math Problem Statement
Which of the following options matches the inequality x > 2?
Solution
The question in the image asks you to identify the correct set notation for the inequality .
In interval notation:
- represents all values greater than 2, but not including 2 itself.
- In interval notation, this is written as , which means that belongs to the open interval from 2 (exclusive) to infinity.
Now let's analyze the options:
- : This starts at 2.01, which is slightly more than 2. It excludes 2 but starts at a higher value, so it does not match.
- : This correctly represents the inequality because it excludes 2 and goes to infinity.
Thus, the correct answer is the second option: .
Would you like more details on interval notation or inequalities? Here are some related questions to expand on:
- What is the difference between open and closed intervals?
- How would you represent in interval notation?
- Can you explain how infinity works in interval notation?
- How do you solve inequalities with both upper and lower bounds?
- How can inequalities be visualized on a number line?
Tip: Always check whether the inequality includes or excludes the boundary value when translating it into interval notation!
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Math Problem Analysis
Mathematical Concepts
Inequalities
Interval Notation
Formulas
-
Theorems
Basic properties of inequalities
Suitable Grade Level
Grades 7-9