Respuesta :

oceansplasher26

Answer:

y=-x+5+-x-5

Step-by-step explanation:

In absolute value, make the content inside the bars the opposite of what it was before. X is less than -5, but the number it is is still unknown, meaning it should still be written as x.

The absolute value will be 2(|x|+5), where x is a negative number less than -5.

Absolute Value

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.

Given to us,

y=|x−5|+|x+5|

Solution

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.

Thus, for y=|x−5|+|x+5|, x<−5,

As given that x will be less than (-5), so x will be always negative.

So,

y=|x−5|+|x+5|,

y=|-x-5| + |x+5|

As the absolute value of |-x| and |-5| is x and 5 respectively.

y=(x+5)+(x+5)

y= 2(x+5)

therefore, the absolute value will be 2(|x|+5), where x is a negative number less than -5.

Learn more about Absolute Value:

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