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.