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.

Question

Mathematics

Cannon Hayden

14 May, 07:54

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.

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Answers (1)

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Holland · Answer 1

First, you have to simplify the inequality and solve for x.

x + 2x + 6 < 50

3x + 6 < 50

3x < 44

x < 14 2/3

So, you now have another set of numbers, {13, 14, 15, 16, 17}, and you know x must be smaller than 14 2/3. The only two numbers in that set that works are 13 and 14, making A: {13, 14} the correct answer.