Question

State the complement of each of the following sets:

a/ Engineers with less than 36 months of full-time employment.
b/ Samples of cement blocks with compressive strength less than 6000 kilograms per square centimeter.
c/ Measurements of the diameter of forged pistons that do not conform to engineering specifications.
d/ Cholesterol levels that measure greater than 180 and less than 220.

Answer 1

The complement of a set refers to the elements that do not belong to that set. We can find the complements of the given sets by determining the elements that meet the specified conditions.

Step-by-step explanation:

The complement of a set refers to the elements that do not belong to that set. Now, let's find the complements of the given sets:

a) The complement of engineers with less than 36 months of full-time employment would be engineers with 36 months or more of full-time employment.

b) The complement of samples of cement blocks with compressive strength less than 6000 kilograms per square centimeter would be samples of cement blocks with compressive strength 6000 kilograms per square centimeter or greater.

c) The complement of measurements of the diameter of forged pistons that do not conform to engineering specifications would be measurements of the diameter of forged pistons that do conform to engineering specifications.

d) The complement of cholesterol levels that measure greater than 180 and less than 220 would be cholesterol levels that measure 180 or lower, or 220 or higher.