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:

$x = \{13,14\}$

Step-by-step 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:

$x = \{13,14\}$