Problem Set I - DIAMLER L VADLAMURI WebWorK Set 01 Problem...

DIAMLER L VADLAMURI
WebWorK Set 01
Problem Set 01 covers lecture topics from chapter 1 in the book.
1. (1 pt) ¡b¿Note:¡/b¿ You only have TWO (2) tries for this
question.
This exercise focuses on operations with inequality and in-
terval notations.
Match the sets and the inequalities by placing the letter of the
inequality next to each set listed below:
1. All x in the interval [ - 16 , 13 )
2. x is greater than - 16
3. x is no more than 13
4. x is nonnegative
5. All x in the interval [ - 16 , 13 ]
A. - 16 ≤ x ≤ 13
B. x ≤ 13
C. x ≥ 0
D. - 16 ≤ x < 13
E. - 16 < x
2. (1 pt) This exercise concerns the definition of absolute
values.
Evaluate the following expressions:
|- 9 | =
- 9 -|- 3 | =
If 9 < x , then simplify: | 9 - x | =
If y < - 3, then
| y + 3 |
y + 3
=
3. (1 pt)
Evaluate:
1
8
( - 2 - 2 / 3
2
) =
¡b¿NOTE:¡/b¿ Your answer must be a number. It cannot be
an algebraic expression.
4. (1 pt)
Evaluate:
3 ( - 10 )( 5 - 11 - 2 ( 8 )) =
¡b¿Note:¡/b¿ Your answer must be a number. It cannot be an
algebraic expression.
5. (1 pt) Using properties of real numbers, the expression
( 9 a )( 7 b + 4 c - 10 d )
can be written in the equivalent form
K · ab + M · ac + N · ad .
Then