Answer and Step-by-step explanation:
Basically this question is asking for you to take the given information and create a problem out of it as well as an answer for the variable n. Before we solve, let's write out what this equation looks like. "Six less than the product of number n and 1/7" looks like:
1/7n - 6 _ __.
The question states that the answer of the problem can be no greater than 99, so we need to use the less than symbol (<). Let's put the < and the 99 into the equation.
1/7n - 6 < 99.
Now we can solve for n. Add 6 to both sides of the equation to cancel out the -6:
1/7n - 6 < 99
<u>+ 6 + 6</u>
1/7n < 105
Now we divide 1/7 into both sides of the equation to single out the variable n:
<u>1/7n</u> < <u>105</u>
1/7 1/7
105 divided by 1/7 = 735, so n = 735.
This equation is false, because 735 ≠ 99.
I hope this helps.
