Beginning Algebra
Answer/Discussion to Practice Problems
Tutorial 2: Symbols and Sets of Numbers
Answer/Discussion
to 1a
5 ? 0
Since 5 is to the right of 0 on the number line, then 5 > 0.
(return to problem
1a) 
Answer/Discussion
to 1b
First of all, .
Next we have .
Since both absolute values equal the same number ½, then .
(return to problem
1b) 
Answer/Discussion
to 1c
2 ? 2
Since 2 is to the left of 2 on the number line, then 2 < 2.
(return to problem
1c) 
Answer/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) 
Answer/Discussion
to 2b
2 > 4
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) 
Answer/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) 
Answer/Discussion
to 3b
3 is not equal to 3.
Reading it left to right we get:
3 is not equal to 3
(return to problem
3b) 
Answer/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) 
Answer/Discussion
to 4a
Natural numbers
The numbers in the given set that are also natural numbers are
{2, }.
Note that simplifies to be 3 which is a natural number.
(return to
problem 4a) 
Last revised on July 22, 2011 by Kim Seward.
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