Question

Graph the compound inequality.
x < 27 or x > 37
Plot the endpoints

Answer 1

You want all x that are less than 27 or greater than 37. The endpoints 27 and 37 are not included (open circles).

Interval notation: (-∞, 27) ∪ (37, ∞)

Number-line sketch (open circles at 27 and 37; shading left of 27 and right of 37):

<——————o 27 37 o———————>
(shaded left) (shaded right)

Or more compact:

←───────o 27 37 o──────→

(Each "o" is an open circle at 27 and 37; shade to the left of 27 and to the right of 37.)