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Problem 1 (20 Points) Prove The Following Statements: {x ā¬ R22 ā 5x + 6 = 0} = {x ā¬ Z|1 < X <

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Problem 1 (20 points) Prove the following statements: {x ā¬ R22 ā 5x + 6 = 0} = {x ā¬ Z|1 < x < 4}; {x ā¬ R|ā 5x + 6 <0} = {x ā¬ R|x < 3} n {x ā¬ R|x > 2}; If a <b, then [a, b] < (c,d) if and only if c < a and b <d; (=q e Z, n = 2q) (=p ā¬ Z, nĀ² = 2p).