For a linear order .X; / we say that element x is between elements a and b provided

Chapter 56, Problem 56.8

(choose chapter or problem)

For a linear order .X; / we say that element x is between elements a and b provided either a < x < b or b < x < a. We say that .X; / is dense provided for all distinct elements a; b 2 X there is an x 2 X that is between a and b. Determine which of the following linear orders is dense (and explain why): a. .Z; /. b. .Q; /. c. .R; /.

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