The IQ scores of the middle 50% of a population can be written as the one above Where x is a person’s IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.

90≤x≤110

Step-by-step explanation:

Given two inequality |x-100/15|≤2/3

The modulus value can be negative or positive

For the postive value. x-100/15≤2/3

Cross multiply

3(x-100) ≤30

3x-300≤30

3x≤330

x≤110

For the negative value;

-(x-100)/15≤2/3

100-x/15≤2/3

3(100-x) ≤30

300-3x≤30

-3x≤-270

x≥90

90≤x

Combining both inequalities.

90≤x≤110