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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 βˆ’ 8| less than or equal to 45 |t + 8| greater than or equal to 45 |t + 45| greater than or equal to 8 |t βˆ’ 45| less than or equal to 8

Respuesta :

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

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

Answer:

Option 4 - [tex]|t-45|\leq 8[/tex] Β 

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 : Β 

According to question,

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

TheΒ 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

[tex]|t-45|\leq 8[/tex]

Therefore, Option 4 is correct.