Beginning Algebra Tutorial 2


Beginning Algebra
Answer/Discussion to Practice Problems
Tutorial 2: Symbols and Sets of Numbers


WTAMU > Virtual Math Lab > Beginning Algebra > Tutorial 2: Symbols and Sets of Numbers


 

checkAnswer/Discussion to 1a

5 ?  0

ad1a

Since 5 is to the right of 0 on the number line, then 5 > 0.

(return to problem 1a)
 
 


 

checkAnswer/Discussion to 1b

problem 1b
 

First of all, ad1b1.

Next we have ad1b2.

Since both absolute values equal the same number ½, then ad1b3.

(return to problem 1b)
 
 


 

checkAnswer/Discussion to 1c

 -2   ?   2

ad1c

Since -2 is to the left of 2 on the number line, then -2 < 2.

(return to problem 1c)
 
 


 

checkAnswer/Discussion to 2a

-3  <  -3

Since -3 is the same number as -3 and the statement includes where the two numbers are equal to each other, then this statement is true.

(return to problem 2a)
 


 

checkAnswer/Discussion to 2b

2  >  4

ad2b

Since 2 is to the left of 4 on the number line, then 2  <  4. 

So, the above statement is false.

(return to problem 2b)
 


 

checkAnswer/Discussion to 3a

-4 is less than 0.

Reading it left to right we get:

-4 is less than 0
-4  <  0

(return to problem 3a)
 


 

checkAnswer/Discussion to 3b

3 is not equal to -3.

Reading it left to right we get:

3 is not equal to -3
ad3b

(return to problem 3b)
 


 

checkAnswer/Discussion to 3c

5 is greater than or equal to -5.

Reading it left to right we get:

5 is greater than or equal to -5.
5   >  -5

(return to problem 3c)
 


 

checkAnswer/Discussion to 4a

Natural numbers
The numbers in the given set that are also natural numbers are

{2, problem 4a}.

Note that problem 4a simplifies to be 3 which is a natural number.

(return to problem 4a)
 


 

checkAnswer/Discussion to 4b

Whole numbers
The numbers in the given set that are also whole numbers are

{0, 2, problem 4a}.

(return to problem 4b)
 


 

checkAnswer/Discussion to 4c

Integers
The numbers in the given set that are also integers are

{0, 2, problem 4a}.

(return to problem 4c)
 


 

checkAnswer/Discussion to 4d

Rational numbers
The numbers in the given set that are also rational numbers are

{-1.5, 0, 2, problem 4a}.

(return to problem 4d)
 


 

checkAnswer/Discussion to 4e

Irrational numbers
The number in the given set that is also an irrational number is

{problem 4b}.

(return to problem 4e)
 


 

checkAnswer/Discussion to 4f

Real numbers
The numbers in the given set that are also real numbers are

{-1.5, 0, 2, problem 4a,problem 4b}.

(return to problem 4f)
 

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WTAMU > Virtual Math Lab >Beginning Algebra > Tutorial 2: Symbols and Sets of Numbers


Last revised on July 22, 2011 by Kim Seward.
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