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Give an example of a set which has least upper bound 5 but contains no element x satisfying x5. Let A={x: x^2+3x+20}. Prove that this set is...
1. Give an example of a set which has least upper bound 5 but contains no element x satisfying x<5.2. Let A={x: x^2+3x+2<0}. Prove that this set is non-empty and bounded above. What is the least upper bound?Is it bounded below?
:−1= { | = 5} = {5}5 ℎ ℎ ℎ <5 ∈ 2={ | + 3 + 2 < 0} ℎ +3 +2<0 => ( + 2)( + 1) < 0= −2ℎ −1 +3 +2<0ℎ=> = { |−2 < =>< −1 ℎ ∈ (−2,1)...