(Solved) 3) Let S, T be non-empty bounded sets of real numbers. Which one of the following statement is implied by supS &lt; sup T 7 (1) There exists an

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3) Let S, T be non-empty bounded sets of real numbers. Which one of
the following statement is implied by supS &lt; sup T 7 (1) There exists an upper bound of S belonging to T.
(2) There exists a lower bound of T belonging to S. Justify the answer! 4) Let 81 and 82 be two statements. Which of the following strategies is
not a valid way to show that â€ 81 implies 82 ? (a) Assume that 81 is true and then use this to show that 82 is true. (b) Show that 81 implies some intermediate statement 8â€™ and then
show that 8â€™ implies 82. c) Assuming that 81 is true and 52 is false, deduce a contradiction.
d) Assune that 52 is false and then use this to show that 81 is false.
e) Assuming that 81 is false and 82 is true, deduce a contradiction.
f) At least one of 81 and 82 is true. (
(
(
(

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