Express the inequality ​a) using a number​ line, ​b) in interval​ notation, and ​c) as a solution set​ (use set builder​ notation).
xgreater than4

Let's break down the inequality \( x > 4 \) into the different formats:

### a) On a number line:
- On the number line, we will show the number 4 with an open circle (to indicate that 4 is not included), and we will shade the line to the right of 4 to indicate that \( x \) is greater than 4.

### b) In interval notation:
- Interval notation represents the set of numbers as an interval. Since \( x > 4 \), we do not include 4, so the interval starts from 4 (but does not include it) and extends to infinity.
- Interval notation: \( (4, \infty) \)

### c) As a solution set (set builder notation):
- In set builder notation, we describe the set of all values of \( x \) that satisfy the condition \( x > 4 \).
- Set builder notation: \( \{ x \mid x > 4 \} \)

Would you like me to provide a visual representation of the number line?

Express the inequality a) using a number line, b) in interval notation, and c) as a solution set (use set builder notation). x > 4

Learn how to express the inequality x > 4 in different formats, including on a number line, in interval notation, and as a solution set using set builder notation. This tutorial covers key concepts of inequalities, suitable for students in Grades 6-8.

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