Question

Select the correct answer from the drop-down menu. A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x + 2x + 6 < 50, where x represents the smaller number. From the set {13, 14, 15, 16, 17}, the values of x for which the inequality holds true are .

Answer 1

Answer: (13,14)

Explanation:

Answer 2

`x = \{13,14\}`

Explanation:

Given

`x + 2x + 6 < 50`

Required

True values of x

We have:

`x + 2x + 6 < 50\\`

`3x + 6 < 50`

Collect like terms

`3x < 50-6`

`3x < 44`

Divide both sides by 3

`x < 44/3`

`x < 14.67`

This means that x has a value lesser than 14.67.

Hence, the valid values are:

`x = \{13,14\}`