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.

A) 3-7x > 4x
B) 3x-7 > 4x
C) 3+7x > 4x
D) 3x+7 > 4x

Answer 1

The correct inequality is D) 3x+7 > 4x.

Step-by-step explanation:

The correct answer is D) 3x+7 > 4x.

To solve this problem, we need to translate the given relationship into an inequality. The sum of three times a number and seven is greater than four times the number can be written as:

3x + 7 > 4x

To isolate the variable x, we subtract 3x from both sides:

7 > x

Alternatively, you can write the inequality as:

x < 7

So the answer is D) 3x+7 > 4x.