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Triangular Numbers Using Patterns

If K=11,12,13...

Question

If

K ∩ M = M ∩ K

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Solution

K = {11, 12, 13}

L = {12, 13, 14}

M= {13, 14, 15}

K ∩ M = {11, 12, 13} ∩ {13, 14, 15}

= {13}

M ∩ K = {13, 14, 15}∩ {11, 12, 13}

= {13}

∴ K ∩ M = M ∩ K

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