Problem Set

1. 1. x is an integer.
      Quantity A		Quantity B

   2. ---

   2. n is an integer.
      Quantity A		Quantity B
      (−1)2n + 1 × (−1)n		(1)n

   3. ---

   3. 1 < 3x < 2
      Quantity A		Quantity B
      x5		x7

   4. ---

   4. 98 < x < 102 103 < y < 107
      Quantity A		Quantity B
      y − x		|y − x|

   5. ---

   5. xyz < 0
      Quantity A		Quantity B
      x + y + z		2x + 2y + 2z

   6. ---

   6. Quantity A	Quantity B
      (−101)102	(−102)101

   7. ---

   7. n < −1
      Quantity A		Quantity B
      n2 · n4		(n2)4

   8. ---

   8. Quantity A		Quantity B
      The sum of the consecutive integers from −12 to 13		13

   9. ---

   9. Quantity A		Quantity B
      y − x		xy

   10. ---

   10. Quantity A	Quantity B
       The sum of the consecutive integers from 2 to 15	34 less than the sum of the consecutive integers from 1 to 17