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MathAlgebra

Union and Intersection of Intervals: ALEKS Answer

For A = {y | y > 1} and B = {y | y ≤ 6}, the union is all real numbers and the intersection is (1, 6].

Question

Union and intersection of intervalsA and B are sets of real numbers defined as follows:A = {y | y > 1}B = {y | y ≤ 6}Write A ∪ B and A ∩ B using interval notation. If a set is empty, write ∅.

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Evidence boundary

This answer is limited to the exact sets A = {y | y > 1} and B = {y | y ≤ 6}. Endpoint inclusion follows the strict and non-strict inequalities in that version; no endpoints from other ALEKS variants are used.