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Which of the following is the set of all real numbers x such that x - 3 < x - 5?
  • a)
    The empty set
  • b)
    The set containing only zero
  • c)
    The set containing all nonnegative real numbers
  • d)
    The set containing all negative real numbers
  • e)
    The set containing all real numbers
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following is the set of all real numbers x such that x - ...
The correct answer is A. To find the real numbers x such that x − 3 < x − 5, you could subtract x from both sides. The result is −3 < −5, and because that inequality is never true, there is no solution for x. The solution set is the empty set. If you chose an incorrect answer you might have thought that a negative value for x might reverse the inequality, which is not the case.
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Which of the following is the set of all real numbers x such that x - ...
The question seems to be incomplete. Could you please provide the rest of the equation or inequality involving x?
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Which of the following is the set of all real numbers x such that x - 3 < x - 5?a)The empty setb)The set containing only zeroc)The set containing all nonnegative real numbersd)The set containing all negative real numberse)The set containing all real numbersCorrect answer is option 'A'. Can you explain this answer?
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