Verified Answer :

Using the definition of the absolute value function, it is found that this expression is true for all values of a.

What is the absolute value function?

It measures the distance from a point x to the origin, hence if:

\(|f(x)| = x\)

It means that:

\(f(x) = x\) or \(f(x) = -x\)

In this problem, the expression is:

|a - 5| = 5 - a

Hence:

a - 5 = 5 - a

2a = 10

a = 5

a - 5 = -5 + a

0 = 0

Hence, this expression is true for all values of a.

More can be learned about the absolute value function at https://brainly.com/question/24734454

MrRoyal

The expression is true for all values of a between 0 and 5 (inclusive)

The expression is given as:

|a–5|=5–a

The absolute value expression is always positive.

So, we have:

a - 5 = 5 -a or 5 - a = 5 - a

For the expression a - 5 = 5 -a, we have:

a + a = 5 + 5

Evaluate like terms

2a = 10

Divide both sides by 2

a = 5

For the expression 5 - a = 5 - a, we have:

0 = 0

So, we have:

0 = 0 or a = 5

This means that, the expression is true for all values of a between 0 and 5 (inclusive)

Read more about absolute value expression at:

https://brainly.com/question/12356796

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