Let me N and set Am = 2+(-1) .max {6 (-1)7m+5 + m, 5}. Let V...

  

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Let me N and set Am = 2+(-1) .max {6 (-1)7m+5 + m, 5}. Let V = {m EN: Am = 7}. (a) Give a simplified expression for Am not involving the max operator nor any exponent. (b) Give the set V, including negative integers satisfying the relevant equation. Recall the Density Theorem: If x, y ER with x <y, then 3r EQ such that x<r<y. (a) Using the Density Theorem, show that the interval (√2, √2+1) contains at least three rational numbers. (b) Let S be a nonempty bounded subset of R. Show that sup(-S) = -inf (S). Let me N and set Am = 2+(-1) .max {6 (-1)7m+5 + m, 5}. Let V = {m EN: Am = 7}. (a) Give a simplified expression for Am not involving the max operator nor any exponent. (b) Give the set V, including negative integers satisfying the relevant equation. Recall the Density Theorem: If x, y ER with x <y, then 3r EQ such that x<r<y. (a) Using the Density Theorem, show that the interval (√2, √2+1) contains at least three rational numbers. (b) Let S be a nonempty bounded subset of R. Show that sup(-S) = -inf (S).

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A A a Am Am A i Son 5 2 1 m man 6 1 7m 5 m5 4 V MEN ... View the full answer