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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 .

Respuesta :

MrRoyal

Answer:

[tex]x = \{13,14\}[/tex]

Step-by-step explanation:

Given

[tex]x + 2x + 6 < 50[/tex]

Required

True values of x

We have:

[tex]x + 2x + 6 < 50\\[/tex]

[tex]3x + 6 < 50[/tex]

Collect like terms

[tex]3x < 50-6[/tex]

[tex]3x < 44[/tex]

Divide both sides by 3

[tex]x < 44/3[/tex]

[tex]x < 14.67[/tex]

This means that x has a value lesser than 14.67.

Hence, the valid values are:

[tex]x = \{13,14\}[/tex]

Answer: (13,14)

Step-by-step explanation:

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