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.