Question

You are presented with a set of requirements under which an insurance policy will be issued. The applicant must be:

1. A married female 25 years old or over, or

2. A female under 25, or

3. A married male under 25 who has not been involved in a car accident, or

4. A married male who has been involved in a car accident, or

5. A married male 25 years or over who has not been involved in a car accident

The variables w, x, y, and z assume the truth value 1 in the following cases:

w = 1 if applicant has been involved in a car accident x = 1 if applicant is married

y = 1 if applicant is a male

z = 1 if applicant is under 25

(a) Find an expression which assumes the value 1 whenever the policy should be issued. (b) Simplify algebraically the above expression and suggest a simpler set of requirements.

Answer 1