Question

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.

Answer 1

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

Answer 2

(C)
`3x + 7 > 4x`

Explanation:

Let
`x` 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
`3x + 7`.

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

`> 4x`

Combining these, we get
`3x + 7 > 4x`.

Hope this helped!