Question

A (x:x3=8 and 2x + 3 = 0) is an empty set ? justify
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Answer 1

Step-by-step explanation:

Here given that,

${x}^{3} = 8 \\ x = 2$

If the solution of

2x+3=0

x is not equal two then it is an empty set

2x = -3

x = -3/2

so yes it is empty set as

x = -3/2 and x = 2 both solution doesn't match

Hope It's help full dear

Answer 2

Answer:

The given set is empty.

Step-by-step explanation:

Given :

There are two expression which are given in the question.

The expressions are $x: x^3=8$ and $2 x+3=0$

To Solve:

The empty set is a distinct set that has no elements and a cardinality of zero. In most textbooks and periodicals, the empty set is referred to as the "null set."

The null set, also known as the empty set, is the set that is devoid of all elements in mathematical sets. It is represented or. One and only one null set exists. This is so because a set can only logically contain nothing in one way.

The two equation must be satisfied for the value of x to be an element of the set.

For equation $(1)$

$x^3=8\\= > x=2$

For equation $(2)$

$2 x+3=0\\= > x=-\frac{3}{2}$

Since there are no solutions as the intersection is null.

Therefore the set is empty.

To know more about "empty set"

https://brainly.in/question/17391297

To know more about "set"

https://brainly.in/question/6185700

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