Consider U = {x|x is a negative real number}. Which is an empty set? {x|x ∈ U and x has a negative cube root} {x|x ∈ U and x has a negative square root} {x|x ∈ U and x is equal to the product of a positive number and –1} {x|x ∈ U and x is equal to the sum of one negative and one positive number}

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Answer:

{x\ x e U and x has a negative square root} is an empty set.

Step-by-step explanation:

If x e U, x is a negative real number, and they don't have a square root (they don't have even roots). Their square roots are complex numbers, not real ones.

The set that will give an empty set will be {x|x ∈ U and x has a negative square root}

What is a set?

A set is a collection of numbers or objects. They are not necessarily arranged in pattern.

Given the following sets

r U = {x|x is a negative real number}

We are to determine the set that is empty. This means we need the set of numbers that are not real numbers.

The square root of a negative number will give a complex number. Hence the set that will give an empty set will be {x|x ∈ U and x has a negative square root}

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