Question

A number line going from negative 60 to negative 50. An open circle is at negative 54. Everything to the right of the circle is shaded.
Which inequality has the solution set shown on the graph?
-54n < 1080
-54n > 1080
594 > -11n
594 < -11n

Answer 1

Solve each for n:

- -54n < 1080 → n > -20
- -54n > 1080 → n < -20
- 594 > -11n → n > -54
- 594 < -11n → n < -54

The graph shows n > -54 (open circle at -54, shaded right), so the correct inequality is 594 > -11n.