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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 .

2 Answers

4 votes

Answer: (13,14)

Explanation:

User Alexy
by
8.7k points
7 votes

Answer:


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\}

User Tenille
by
8.3k points

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