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Ian says that if x < y, then | x | < | y |. Give one example where Ian's statement is true. Then provide one example that proves Ian's statement is not always true. hurry please! ill give brainliest

Ian says that if x lt y then x lt y Give one example where Ians statement is true Then provide one example that proves Ians statement is not always true hurry p class=

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Solution:

Proving that Ian is not always true:

  • |x| < |y| (x and y must be positive)
  • => |-5| < |-4|
  • => 5 < 4 (False)

Proving that Ian is sometimes true:

  • |x| < |y| (x and y must be positive)
  • |4| < |5|
  • 4 < 5 (True)

This proves that:

  • If x and y are positive, Ian's statement will be true.
  • If x and y are negative, Ian's statement will be false.