Question

d = x is a whole number e = x f = x is an even number greater than or equal to 2 and less than 9 which of the following is d ∩ f? a. {4, 6} b. {2, 4, 6} c. {2, 4, 6, 8} d. {2}

Answer 1

`D=\{0;\ 1;\ 2;\ 3;\ 4;...\}\\E=\{4\}\\F=\{2;\ 4;\ 6;\ 8\}\\\\D\ \cap\ F=\{2;\ 4;\ 6;\ 8\}=F\to\boxed{c.}\\conclusion\ F\subset D`

Answer 2

Correct option is:

c. {2, 4, 6, 8}

Explanation:

d = x is a whole number

i.e. d={0,1,2,3,...}

f = x is an even number greater than or equal to 2 and less than 9

i.e. f={2,4,6,8}

Intersection(∩) of two sets gives the element which is common in both the sets

d∩f={0,1,2,3,...}∩{2,4,6,8}

= {2,4,6,8}

Hence, Correct option is:

c. {2, 4, 6, 8}