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? |t − 8| less than or equal to 45 |t + 8| greater than or equal to 45 |t + 45| greater than or equal to 8 |t − 45| less than or equal to 8

Answer 1

The absolute value of the difference between the time  anyone takes and 45 is  less than or equal to 8

|t - 45| <= 8 is the correct choice    ( the last one)

Answer 2

Answer:

Option 4 - $|t-45|\leq 8$  

Step-by-step explanation:

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. However, each varies no more than 8 minutes.

To find : Which inequality below represents this scenario?

Solution :  

According to question,

Some workers take a shorter time (t) at this while some take longer i.e. absolute value.

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

The inequality used for no more than is ≤.

The inequality equation form is

$|t-45|\leq 8$

Therefore, Option 4 is correct.