Question

Which answer choice shows a solution set in which all

values, when input for x, will be true?

80
---- > 4
4x

{2,4,6,8}

{3,6,9,12}

{1,2,3,4}

{3,4,5,6}​

Answer 1

Explanation:

3rd choice is correct

Answer 2

Given:

`$(80)/(4 x)>4`

To find:

The solution set for the inequality.

Solution:

If the greater number of the set satisfies the inequality, then that set is the solution set.

Option A: {2, 4, 6, 8}

Greater number = 8. Thus substitute x = 8 in given expression.

`$(80)/(4 * 8)>4`

`$2.5>4`

This is not true because 2.5 < 4.

It is not solution set.

Option B: {3, 6, 9, 12}

Greater number = 12. Thus substitute x = 12 in given expression.

`$(80)/(4 * 12)>4`

`$1.67>4`

This is not true because 1.67 < 4.

It is not solution set.

Option C: {1, 2, 3, 4}

Greater number = 4. Thus substitute x = 4 in given expression.

`$(80)/(4 * 4)>4`

`$5>4`

This is true because 5 is greater than 4.

It is the solution set.

Option D: {3, 4, 5, 6}

Greater number = 6. Thus substitute x = 6 in given expression.

`$(80)/(4 * 6)>4`

`$3.33>4`

This is not true because 3.33 < 4.

It is not solution set.

Hence {1, 2, 3, 4} is the solution set for the expression.