Write the underlying inequality and then solve. ????

Question

1. At the brooks graphic company, the average starting salary for a new graphic designer is $37,600, but the actual salary could differ from the average by as much as $2590

 

2. The weight of each fountain pen manufactured in a factory must be 10 g with a tolerance of 2 g. Pens that are not within the tolerance weight must be thrown away...

Answer 1

1

 

At the brooks graphic company, the average starting salary for a new graphic designer is $37,600, but the actual salary could differ from the average by as much as $2590

 

|the difference between the average and the actual salary| <= $2590

 

| x -37600|  <= 2590

 

Case 1:

 

|x -37600| <= 2590

 

x <=40190

 

Case 2:

 

|x-37600 |<=2590

 

x -37600>=-2590

 

x >=35010

 

So

 

$35010 < x < $40190