Question: a) Define what it means for a and b to be congruent modulo 7. b) Which pairs of the integers 11,8,7,1, 0, 3, and 17

a) Define what it means for a and b to be congruent modulo 7.
b) Which pairs of the integers −11,−8,−7,−1, 0, 3, and 17 are congruent modulo 7?
c) Show that if a and b are congruent modulo 7, then 10a + 13 and−4b + 20 are also congruent modulo 7.

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