We read your photo as:

Describe the shaded and unshaded regions in the given Venn diagram using set notation.

Mathematics

ScanSolve AI Answer

Step-by-step solution

2 steps
  1. Identify the shaded region.

    The shaded region in the Venn diagram represents the elements that are common to both set H and set G. This is known as the intersection of H and G.
    In set notation, the shaded region is H∩GH \cap G.

  2. Describe the unshaded region.

    The unshaded region includes all elements within the universal set that are not part of the shaded region (H∩GH \cap G). This is the complement of the intersection of H and G.

    In set notation, the unshaded region is:

    (H∩G)′(H \cap G)'

    This means "the complement of the intersection of H and G."

    In words, the unshaded region represents all elements that are not in both H and G simultaneously. This includes elements that are only in H, only in G, or neither in H nor in G.

    The unshaded region is the complement of the intersection of H and G, or (H∩G)′\boxed{\text{the complement of the intersection of H and G, or } (H \cap G)'}.

Was this helpful?

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp