A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4,500. Write and solve an absolute value inequality to determine the range of salaries at this company.
My option's
|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.
|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000
|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.
I'm having trouble figuring thes eout in general and what the question ask's may I please have an explanitory explination on what is going on?
THANKS SO MUCH FOR ALL THE TIME YOU SPEND HELPING ME IT'S REALLY APPRICATED!
OK, HL.....
The salaries could be as much as $4500 less than $37,500 which means that the salaries could be as little as
$37,500 -$4500 = $33,000
Or..
The salaries could be as much as $4500 more than $37,500 = $37,500 + $4500 = $42,000
So
The salries could range from $33,000 to $42000 and lx - 37,5000 l ≤ $4500 is correct [ the first answer ]