Question

graph the set {x | 3 < x < 6} on the number line. then, write the set using interval notation. {x | 3 < x < 6} =

Explanation:

Step1: Graph the inequality bounds

On the number line, place open circles at $x=3$ and $x=6$ (since the inequality is strict, $<$ not $\leq$), then shade the region between the two points.

Step2: Convert to interval notation

For strict inequalities $3

Answer:

Graph: Open circles at 3 and 6, shaded region between them.
Interval notation: $(3,6)$