Absolute Value (algebraic version)....1

[nycmathguy]

Homework Statement

Rewrite each expression without using absolute value notation.

Relevant Equations

n/a

Absolute Value (algebraic version)
Rule:

| x | = x when x ≥ 0

| x | = -x when x > 0

Rewrite each expression without using absolute value notation.

Question 1

|1 - sqrt{2} | + 1

The value 1 - sqrt{2} = a negative value.

So, -(1 - sqrt{2}) = - 1 + sqrt{2}.

When I put it all together, I get this:

-1 + sqrt{2} + 1

Answer: sqrt{2}

You say?

Question 2

| x - 3 | given that x < 3.

If x < 3, then x - 3 is a negative value.

So, -(x - 3) becomes -x + 3.

You say?

 

[Ssnow]

I agree also for this.
Ssnow

 

[nycmathguy]

I agree also for this.
Ssnow

I got it right again. Not bad for a person that has been attacked since joining the site for trying to learn precalculus, a subject that IS WAY OVER MY HEAD.