19
QuizMultiple Choice

Applications of Probability — Test

Question 19 • Mathematics II

Consider cap u is equal to x divides x is A positive integer greater than 1 Which is an empty set?

Answer
A
start set x such that x is in cap u and 1 half x can be written as A fraction end set
B
start set x such that x is in cap u and 1 half x is prime end set
C
start set x such that x is in cap u and 2 x can be written as A fraction end set
D
start set x such that x is in cap u and 2 x is prime end set

Explanation

For choice C, x is a positive integer greater than 1, so 2x is an even integer greater than 2. Every such number is divisible by 2 and is therefore not prime, so no x satisfies the condition. Thus, the set in choice C is empty.

AI-written and checked against the verified answer.

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