Rewrite Without Absolute Value Notation Part 1

[nycmathguy]

Set 1.2
Questions
26, 28, 30, 32
David Cohen

See attachment.

I will apply the Absolute Value Definition to each problem.

Question 26

The content inside the absolute value bars is negative.

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

-1+ sqrt{2} + 1

Answer: sqrt{2}

Question 28

Since x < 3, the value inside the bars is negative.

So, -(x - 3) = -x + 3

Question 30

The value inside the bars is positive.

So, the answer is x^4 +1.

Question 32

The value inside the bars is negative.

So, -(sqrt{3} - sqrt{5}) = -sqrt{3} + sqrt{5}.

You say?

 

[MathLover1]

correct

 

[nycmathguy]

correct

Wonderful. Seeking for some new questions now.