x 3
x 1
x 5
x 9
x 0
If |a| < |b|, and a > b, which of the following is necessarily true?
If |a| < |b|, and a > b, which of the following is necessarily true?
Because the absolute value of a is less than that of b, a is a lesser magnitude than b. However, a > b, so a must be a positive number and b a negative number. So, you can plug in numbers: a = some positive number of magnitude less than b, or a = 3, b = -10.
  • |a + b| > |b| + |a|
  • |a| + |b| > 2|b|
  • |a + b| < a - b
  • |a - b| > a + b
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