Question

graph the set {x | x > 4} on the number line. then, write the set using interval notation. {x | x > 4} = \square

Explanation:

Step1: Graph the set on number line

On the number line, place an open circle at 4 (since \(x > 4\) does not include 4), then draw an arrow pointing to the right (toward positive infinity) to represent all numbers greater than 4.

Step2: Convert to interval notation

For \(x > 4\), the lower bound is 4 (not included, so use parenthesis) and the upper bound is positive infinity, written as \((4, \infty)\).

Answer:

Graph: Open circle at 4, arrow right to \(+\infty\)
Interval notation: \((4, \infty)\)