Question

graph the set ${x mid x > 1}$ on the number line.
then, write the set using interval notation.

Explanation:

Step1: Graph the set on number line

Draw an open circle at $x=1$ (since $x>1$ does not include 1), then draw a ray extending to the right from this open circle to represent all numbers greater than 1.

Step2: Write in interval notation

For all real numbers greater than 1, the lower bound is 1 (not included, so use parenthesis) and the upper bound is positive infinity, written as $(1, \infty)$

Answer:

Graph: Open circle at 1, ray extending right to positive infinity.
Interval notation: $(1, \infty)$