Question

Assembly of a television set in the factory is set at 45 minutes. Some workers take a shorter time (t) at this while some take longer. However, each varies no more than 8 minutes. Which inequality below represents this scenario?

Answer 1

Given : Assembly of a television set in the factory is set at 45 minutes.Some workers take a shorter time (t) at this while some take longer But it is not more than 8 minutes.

The inequality used for no more than is ≤ .

The  time take will be the absolute value of t-45 and is no more or ≤ 8.

This can be represented as an inequality as :

l t-45 l ≤ 8.

The  last option is the right answer.

Answer 2

Based on the given inequality above, if we analyze it, I believe that the appropriate inequality that represents the scenario would be the last option. 8 more than 45 is 53 and 8 less than 45 is 37. So the best inequality for this would be this: |t-45|≤ 8. Hope this is the answer that you are looking for. Have a great day!