- #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

| x^4 + 1 |

I say x^4 + 1 is a positive value.

My answer is x^4 + 1.

Question 2

|-sqrt{3} - sqrt{5} |

The value of -sqrt{3} - sqrt{5} is negative.

So, -(-sqrt{3} - sqrt{5}) becomes

sqrt{3} + sqrt{5}.

You say?

Rule:

| x | = x when x ≥ 0

| x | = -x when x > 0

Rewrite each expression without using absolute value notation.

Question 1

| x^4 + 1 |

I say x^4 + 1 is a positive value.

My answer is x^4 + 1.

Question 2

|-sqrt{3} - sqrt{5} |

The value of -sqrt{3} - sqrt{5} is negative.

So, -(-sqrt{3} - sqrt{5}) becomes

sqrt{3} + sqrt{5}.

You say?