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:

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)

Answer/Discussion to 4b

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

{0, 2, }.

(return to problem 4b)

Answer/Discussion to 4c

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

{0, 2, }.

(return to problem 4c)

Answer/Discussion to 4d

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

{-1.5, 0, 2, }.

(return to problem 4d)

Answer/Discussion to 4e

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

(return to problem 4e)

Answer/Discussion to 4f

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

{-1.5, 0, 2, ,}.

(return to problem 4f)