Select the inequality that represents the relationship described below.
The sum of three times a number and seven is greater than four times the number.

Select the inequality that represents the relationship described below The sum of three times a number and seven is greater than four times the number class=

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Answer:

(C) [tex]3x + 7 > 4x[/tex]

Step-by-step explanation:

Let [tex]x[/tex] represent the number that is unknown.

Using the words, we can write out each equation.

"The sum of three times a number and seven" will be adding 7 to 3x. So [tex]3x + 7[/tex].

"is greater than four times the number." will include a greater than sign and then 4 times the number, x. So:

[tex]> 4x[/tex]

Combining these, we get [tex]3x + 7 > 4x[/tex].

Hope this helped!

Answer: Choice C.   3x+7 > 4x

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Work Shown:

x = a number (something unknown)

3x = 3 times a number

3x+7 = the sum of 3 times a number and 7

4x = 4 times a number

3x+7 > 4x is the inequality that forms because the "the sum of 3 times a number and 7" portion is greater than the "4 times a number" portion