Question

Which numbers in Set A = {−7, −4, 2, 14, 21, 34, 42} are elements of both Set B and Set C, shown below? Set B = {even numbers} Set C = {multiples of 7} and Enter answers from smallest to largest THERE ARE TWO QUESTIONS

Answer 1

`\Huge \boxed{\mathrm{\{ 14, 42\} }}`

Explanation:

`\mathrm{Set \ A = \{-7, -4, 2, 14, 21, 34, 42\} }\\\\\\\mathrm{Set \ B = \{even \ numbers\} } \\\\\\\mathrm{Set \ C = \{multiples \ of \ 7\}}`

Whatever number is in Set A, it must also be in Set B and Set C.

The elements in Set A must be an even number and a multiple of 7.

Multiples of 7 from Set A are -7, 14, 21, 42.

The even numbers from these multiples of 7 are 14 and 42.

Answer 2

14, 42

Explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

There is only one question asked

Which numbers in Set A are elements of both Set B and Set C,

We need it to be even and a multiple of 7

14 is even and a multiple of 7 and 42 is even and a multiple of 7