Rewrite Without Absolute Value Notation Part 2

Set 1.2
Questions 34, 36, 38
David Cohen

Rewrite without using absolute value notation.

See attachment.





Question 34

Since x > 4, the value inside is positive for both absolute value expressions added.

| x - 3 | + | x - 4|

x - 3 + x - 4

2x - 7

Question 36

Since x = 4, | x - 3 | is positive and | x - 4 | becomes 0.

We have x - 3 + 0 = x - 3.

Question 38

Since x < -3, | x + 1 | is negative.

We also know that | x + 3 | is negative.

We have -(x + 1) - 4(x + 3).

-x - 1 - 4x - 12

-5x - 13

You say?

 

correct

 

Thanks. Is Part 1 also right?