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Dvinal [7]
3 years ago
7

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 numb

ers 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 .
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
7 0

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\}

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