Social Science When administering a standard intelligence qu

Social Science When administering a standard intelligence quotient (IQ) test, we expect about one-third of the scores to be more than 12 units above 100 or more than 12 units below 100. Describe this situation by writing an absolute value inequality.

Solution

solution:

let the score be x

the given statement says

one third of score (x/3) more than 12 units above 100 means

(x/3)>100+12

x>336

or

one third of score (x/3) more than 12 units below 100 means

(x/3)>100-12

x>264

so x>336 or x>264

so as a whole

x>264