Question

Find the numbers with the following property three times the sum of four and a number is less than seven times the same number

Answer 1

Let's call the number we're looking for "x".

According to the problem, we know that:

3(4 + x) < 7x

Simplifying:

12 + 3x < 7x

Subtracting 3x from both sides:

12 < 4x

Dividing both sides by 4:

3 < x

So the number we're looking for must be greater than 3.

Answer 2

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation: