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State the contrapositive and the converse of each of the following conditional sentences; state and its contrapositive are true or false; and state whether the whether the original statement and its co converse is true or false: a) (x, y E R) If x > y, then x² > ². b) (A, B, C sets) If BCC, then AX BCA X C. c) (a, b, c E N) If a b and blc, then a c.

State the contrapositive and the converse of each of the following conditional sentences; state and its contrapositive are true or false; and state whether the whether the original statement and its co converse is true or false: a) (x, y E R) If x > y, then x² > ². b) (A, B, C sets) If BCC, then AX BCA X C. c) (a, b, c E N) If a b and blc, then a c.

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.3: Divisibility
Problem 10TFE
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State the contrapositive and the converse of each of the following conditional sentences; state whether the original statement and its contrapositive are true or false; and state whether the converse is true or false: a) (x, y € R) If x > y, then x² > ². b) (A, B, C sets) If B C C, then AX BCA X C. c) (a, b, c € N) If a b and b|c, then alc.
Transcribed Image Text:State the contrapositive and the converse of each of the following conditional sentences; state whether the original statement and its contrapositive are true or false; and state whether the converse is true or false: a) (x, y € R) If x > y, then x² > ². b) (A, B, C sets) If B C C, then AX BCA X C. c) (a, b, c € N) If a b and b|c, then alc.
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