Question

I need help please wiil mark brainliest

Answer 1

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Answer:

  F ∪ H = [2, ∞)

  F ∩ H = (6, ∞)

Step-by-step explanation:

Graphs of the two sets are shown in the attachment. Set F is shown in red; set H is shown in blue. The solid dot means the point is included in the set, equivalent to a square bracket in interval notation. The open dot means the point is not included in the set, equivalent to a round bracket (parenthesis) in interval notation.

F ∪ H

The union of two sets is the set that contains elements that are members of either set. Here, set F includes all of the elements of set H, so the union of the to sets is simply set F.

  F∪H = F = [2, ∞)

__

F ∩ H

The intersection of two sets is the set of elements that are common to both sets. Here, every element of set H is also an element of set F, but not vice versa. So, the intersection of the sets is equivalent to set H.

  F∩H = H = (6, ∞)