3 Title

Beginning Algebra
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)

 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)

Last revised on July 22, 2011 by Kim Seward.