KING FAHD UNIVERSITY OF PETROLUEM AND MINERALS

Faculty of Science – Math Prep-Year Program

Math 001 - Term 031

Worksheet # 2 (P2)

Q1) Determine which of the following statements is TRUE and which is FALSE.

a) If  and , then

b) =

c)

d) The distance between two points in the real line is always positive .

e) is a positive number

f) If  then

g)

Q2)  Write the following expressions without the absolute value notation :

a) , where

b)

c)

d) , where x is negative

e)

f) , where

g)

Q3) Given the inequality  or ,

1)      Graph the given inequality on a real line .

2)      Write the given inequality as an interval notation .

Q4) Use the absolute value notation to describe the given expressions:

a)  is more than 3 units  from -1 but less that 5 units from -1.

b) The distance between a real number  and -10 is not more than 8.

KING FAHD UNIVERSITY OF PETROLUEM AND MINERALS

Dammam Community College

Math 011 - Term 031

Worksheet # 2 (P2)

Q1) Which of the following statement is TRUE and which is FALSE .State the

reason :

a) If  and , then

b) =

c)

d) The distance between two points in the real line is always positive .

e) is a positive number

f) If  then

g)

Q2)  Write the following expressions without the absolute value notation :

a) , where

b)

c)

d) , where x is negative

e)

f) , where

g)

Q3) Given the inequality  or ,

1)   Graph the given inequality on a real line .

2)      Write the given inequality as an interval notation .

Q4) Use the absolute value notation to describe the given expressions:

a)  is more than 3 units  from -1 but less that 5 units from -1.

b) The distance between a real number  and -10 is not more than 8.

KING FAHD UNIVERSITY OF PETROLUEM AND MINERALS

Diploma Math Program

Math 003 - Term 031

Worksheet # 2 (P2)

Q1) Which of the following statement is TRUE and which is FALSE .State the

reason :

a) If  and , then

b) =

c)

d) The distance between two points the real line is always positive .

e) is a positive number

f) If  then

g)

Q2)  Write the following expressions without the absolute value notation :

a) , where

b)

c)

d) , where x is negative

e)

f) , where

g)

Q3) Given the inequality  or ,

1)      Graph the given inequality on a real line .

2)      Write the given inequality as an interval notation .

Q4) Use the absolute value notation to describe the given expressions:

a)  is more than 3 units  from -1 but less that 5 units from -1.

b) The distance between a real number  and -10 is not more than 8.