Question

(a) For A = {1, 2, 3}, give an example of three subsets A1, A2and A3of A such that |Ai?Aj| =|i ? j| for every pair i, j of distinct integers with 1 ? i, j ? 3.(b) For B = {1, 2, 3, 4, 5, 6}, give an example of four subsets B1, B2, B3and B4of B suchthat |Bi? Bj| = |i ? j| for every pair i, j of distinct integers with 1 ? i, j ? 4

Name: a for a 1 2 3 give an example of three subsets a1 a2and a3of a such that aiaj i j for every pair i j of distinct integers with 1 i j 3b for b 1 2 3 4 5 6 give an example of four subsets b1 b2 b3and b4
Uploaded: 2023-03-14T22:41:24-08:00
Duration: 2 min 53 s
Channel: Nicole Smina
Description: a for a 1 2 3 give an example of three subsets a1 a2and a3of a such that aiaj i j for every pair i j of distinct integers with 1 i j 3b for b 1 2 3 4 5 6 give an example of four subsets b1 b2 b3and b4

          (a) For A = {1, 2, 3}, give an example of three subsets A1,
A2and A3of A such that |Ai?Aj| =|i ? j| for every pair i, j of
distinct integers with 1 ? i, j ? 3.(b) For B = {1, 2, 3, 4, 5, 6},
give an example of four subsets B1, B2, B3and B4of B suchthat |Bi?
Bj| = |i ? j| for every pair i, j of distinct integers with 1 ? i,
j ? 4

Added by Richard B.

Precalculus Functions and Graphs

Mark Dugopolski 4th Edition

Chapter 11

Instant Answer

Solved by Expert Nicole Smina

03/14/2023

Step 1

(a) For A = {1, 2, 3}, we can choose the following subsets: - A1 = {1} - A2 = {1, 2} - A3 = {1, 2, 3} We can check that |Ai?Aj| = |i ? j| for every pair i, j of distinct integers with 1 ? i, j ? 3: - |A1?A2| = |{2}| = 1 = |1 - 2| - |A1?A3| = |{2, 3}| = 2 = |1 - Show more…

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(a) For A = {1, 2, 3}, give an example of three subsets A1, A2and A3of A such that |Ai?Aj| =|i ? j| for every pair i, j of distinct integers with 1 ? i, j ? 3.(b) For B = {1, 2, 3, 4, 5, 6}, give an example of four subsets B1, B2, B3and B4of B suchthat |Bi? Bj| = |i ? j| for every pair i, j of distinct integers with 1 ? i, j ? 4