what is an empty set? Why is this equation an empty set?

Question

√6x+4+15=7

Answer 1

What is an empty set?

 

An empty set is a set with no elements. It's empty; like an empty box.

 

Why is this equation an empty set?

√(6x+4) + 15 = 7

 

The equation is not an empty set; its solution set is empty because there are no real solutions.

 

√(6x+4) = - 15 + 7 < 0

 

Since the real value of a square root is positive and this problem tries for a negative value, there is no real solution and the solution set is empty.

Answer 2

Square root of 6x = -12.

The answer is imaginary.