Question

Allen is running a marathon. He would like to finish the race in under 5.5 hours. He has already run 3 hours. The inequality 3 + t less-than 5.5 represents the situation.

Which number line shows how much longer Allen can run and still meet his goal?
A number line going from 0 to 3. An open circle is at 2.5. Everything to the left of the circle is shaded.
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the left of the circle is shaded.
A number line going from 0 to 3. An open circle is at 2.5. Everything to the right of the circle is shaded.
A number line going from 0 to 3. A closed circle is at 2.5. Everything to the right of the circle is shaded.

Answer 1

Solve 3 + t < 5.5 → t < 2.5. So Allen can run less than 2.5 more hours. That is shown by an open circle at 2.5 with the line shaded to the left. (First option.)