Question

Which sets are best represented by the Venn diagram G = {odd numbers)

H = {even numbers)
1 = {prime numbers
B. G = {a,b,c}
H = {d, e, f}
1 = {a, d, g}
C. G= {1, 2, 3
H = {2, 4, 9}
1 = {4, 5, 6)
D. G={a, -13,7}
H={-13, -15, s}
1 = {s, a, 23}

Answer 1

option C.

G = {1, 2, 3}

H = {2, 4, 9}

1 = {4, 5, 6}

Explanation:

From the diagram given above, we obtained the following information:

1. G Intercession H (G n H) has members i.e (G n H) is not epmty

G n H ≠ empty.

2. H Intercession I (H n I) has members i.e (H n I) is not empty

H n I ≠ empty.

3. G Intercession I (G n I) is empty i.e

G n I = empty.

Please note: Intercession of sets talks about elements or members common to the sets.

With the above information, we can suggest the answer to the question as follow:

For option A:

G = {odd numbers} = {1, 3, 5, 7,.. }

H = {even numbers} = {2, 4, 6, 8,.. }

I = {prime numbers} = {2, 3, 5, 7,...}

Therefore:

G n H = {} = empty

H n I = {2}

G n I = {3, 5, 7,..}

For option B:

G = {a,b,c}

H = {d, e, f}

I = {a, d, g}

Therefore:

G n H = {} = empty

H n I = {d}

G n I = {a}

For option C:

G = {1, 2, 3}

H = {2, 4, 9}

I = {4, 5, 6}

Therefore:

G n H = {2}

H n I = {4}

G n I = {} = empty

For option D:

G = {a, -13, 7}

H = {-13, -15, s}

I = {s, a, 23}

Therefore:

G n H = {-13}

H n I = {s}

G n I = {a}

From the above illustrations, only option C is correct.