Q. Let G={−9,9} and H={−10,−9}. What is G∩H?Choices:(A) {−10}(B) {−9}(C) {−10,−9,9}(D) {−10,9}
Define Intersection of Sets: The question prompt asks us to find the intersection of two sets G and H, which is denoted by G∩H. The intersection of two sets is the set of elements that are common to both sets.
List Elements of Sets: To find G∩H, we list the elements of each set and identify any elements that appear in both sets. The set G is given as \{ −9, 9 \}, and the set H is given as \{ −10, −9 \}.
Identify Common Elements: Comparing the elements of G and H, we see that the element −9 is present in both sets. The element 9 is only in set G, and the element −10 is only in set H.
Find Intersection of G and H: Therefore, the intersection of sets G and H, G∩H, is the set containing only the element that is in both G and H, which is {−9}.