Question

Set g is the set of positive integers divisible by 4, and set f is the set of perfect squares. list the first 5 elements of set h, which contains numbers in g that are also elements of f.

Answer 1

The first 5 elements of set H, which contains numbers in G that are also elements of F are {4, 16, 36, 64, 100}.

What is intersection of sets?

The intersection of two sets has been the set that includes each of the elements which are shared by both sets.

The symbol for set intersection is  "∩''. The intersection, A ∩ B (read as A intersecting B) lists all the items that really are present in both sets and constitute the common elements of A and B for any two sets A and B.

Now, according to the question;

Set G is the set of positive integers divisible by 4, and

Set F is the set of perfect squares;

Then,

G = {4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48; 52; 56; 60; 64; 68; 72; 76; 80; 84; 88; 92; 96; 100; 104; ...}

F = {1; 4; 9; 16; 25; 36; 49; 64; 81; 100; ...}

So, by the intersection of the sets;

G ∩ F - a intersection of the two sets, that is, what numbers are present in both sets at the same time.

G ∩ F = {4; 16; 36; 64; 100}

Therefore, The first 5 elements of set H, which have the same numbers in G as elements of F are {4, 16, 36, 64, 100}.

To know more about the intersection of sets, here

brainly.com/question/11439924

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