Question

Adrian spent more than 7
hours this week training for a gymnastics competition. How many hours could he have spent training?

Graph the solution to the inequality that represents the situation on the number line.

Answer 1

Let h = hours Adrian trained. The inequality is

h > 7

In interval notation: (7, ∞).

Possible values: 7.1, 8, 10.5, 12, etc. (NOT 7)

Number line graph (open circle at 7, shade to the right):

... 5 — 6 — 7 ○——————► 8 — 9 — 10 ...

(○ at 7 indicates 7 is not included; arrow to the right shows all numbers greater than 7.)