Consider u = {x|x is a negative real number}.
which is an empty set?
o {x|x e u and x has a negative cube root}
o {x\x eu and x has a negative square root}
o {x|x e u and x is equal to the product of a positive number and -1}
o {x|x eu and x is equal to the sum of one negative and one positive number}

Option B.

Step-by-step explanation:

Consider,

We need to find the empty set from the given options.

In option A,

Let

Since x has a negative cube root, it means x is a negative real number. So, this set is not an empty set.

In option B,

Let

Since x has a negative square root, it means x is a positive real number because square root of a negative number is an imaginary number. So, this set is an empty set.

In option C,

Let

Since x is equal to the product of a positive number and -1, it means x is a negative real number. So, this set is not an empty set.

In option D,

Let

Since x is equal to the sum of one negative and one positive number, it means x can be a negative real number or positive real number. So, this set is not an empty set.

Hence, option B is correct.

step-by-step explanation:

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