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Inequalities
  
 
Problems
Problem 2.1: What property is demonstrated by the following statement?
5 > 2 and 2 > 0. Thus 5 > 0. [Solution]
Problem 2.2: If x is a positive real number, which inequality sign goes in the circle? What property does this show?
- x
0
[Solution]
Problem 2.3: If x and y are positive real numbers, which inequality sign goes in the circle?
x < y
[Solution]
Problem 2.4: Name the property or operation used in each of the following steps:
  1. 2x < 5 - x
  2. 2x + x < 5 - x + x
  3. 3x < 5 + 0
  4. 3x < 5
  5. <
  6. 1x <
  7. x <
[Solution]
Problem 2.5: Name the property or operation used in each of the following steps:
  1. -2xx + 5
  2. -2x - xx + 5 - x
  3. -3x≤0 + 5
  4. -3x≤5
  5. 1x≥ -
  6. x≥ -
[Solution]
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