Respuesta :

ANSWER

The correct answer is
[tex] \sqrt{x} = 15 - 11[/tex]
EXPLANATION

The expression given to us is

[tex] \sqrt{x} + 11 = 15[/tex]

We can use the property of additive inverse

the additive inverse property to write another equation that is equivalent to the above equation.


The additive inverse of
[tex]11[/tex]
is

[tex] - 11[/tex]


We add the additive inverse of 11 to both sides of the equation to obtain,




[tex] \sqrt{x} + 11 - 11= 15 - 11[/tex]

The left hand side simplifies to,


[tex] \sqrt{x} +0 = 15 - 11[/tex]
This further simplifies to,

[tex] \sqrt{x} = 15 - 11[/tex]




Therefore the correct answer is option D.

The expression is [tex]\sqrt{x} = 15-11[/tex] equivalent to the given equation.

Option D is the correct answer.

What is the Additive Inverse?

The additive inverse is a property of a number that is added to a number to create the sum of zero.

The given expression is,

[tex]\sqrt{x} + 11 = 15[/tex]

In the above equation, the additive inverse property has been used. The additive inverse of 11 is added to both sides of the equation.

[tex]\sqrt{x} +11 -11 = 15 -11[/tex]

[tex]\sqrt{x} = 15-11[/tex]

Hence we can conclude that the expression [tex]\sqrt{x} = 15-11[/tex] is equivalent to the given equation. Option D is the correct answer.

To know more about the additive inverse, follow the link given below.

https://brainly.com/question/13715269.