Stephanie M. answered • 06/15/15

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As Michael explains, B can be written in interval notation as [1, ∞) and C can be written in interval notation as (-∞, 8).

The union of two sets is all values that are present in either set. Since C includes all values from -∞ to 8 (not including 8) and B includes all values from 1 to infinity, together they include every number. So their union is:

B∪C = (-∞, ∞)

The intersection of two set is all values that are present in both sets. Every number between 1 and 8 (including 1 but not 8) is present in both sets. So their intersection is:

B∩C = [1, 8)