Question

The difference of the square of a number and three times the sum of the number and 7 is more than the product of that number and 15. Select the inequality that can be used to determine the unknown number.

Answer 1

Let's call the number $x$, and let's write down all the components of this problem:

"The square of a number" $\to x^2$

"three times the sum of the number and 7" $\to 3(x+7)$

"the product of that number and 15" $\to x\times 15 = 15x$

Now, we want the difference between the first two:

$x^2-3(x+7)$

And this must be greather than, $>$, the third one. So, we finally have

$x^2-3(x+7) > 15x$

Answer 2

Answer:

The question stated that the difference of the square of a number and three times the sum of the number and 7 (x^2-3 (x+7))is more than the product of that number and 15 (15x)

So x^2- 3(x+7)>15(x)= x^2 -3x +21>15x