Which of the following is not an ordered field? O Q={all rationals} O R={all reals} O S={all irrationals) O T={a+bv2| a, beQ} O none of the above.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.CT: Test
Problem 3CT: To prove a theorem of the form "If P, then Q" by the indirect method, the first line of the proof...
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ANSWER NUMBER 2 ONLY

1. Which of the following is false? *
O If x > 0, then 1/x > 0.
O If x > 1, then x^2 > x.
O If x < y, then 1/y < 1/x.
O If x-z. = y-z and z=0, then x = y.
O None of the above
2. Which of the following is not an ordered field? *
Q={all rationals}
R={all reals)
O S={all irrationals)
O T={a+bv2|a, beQ}
O none of the above.
Transcribed Image Text:1. Which of the following is false? * O If x > 0, then 1/x > 0. O If x > 1, then x^2 > x. O If x < y, then 1/y < 1/x. O If x-z. = y-z and z=0, then x = y. O None of the above 2. Which of the following is not an ordered field? * Q={all rationals} R={all reals) O S={all irrationals) O T={a+bv2|a, beQ} O none of the above.
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