SOLUTION: Hi, My son has an algebra question I found difficult to help him with. Please help us. I understand it is a "Problem-Solving Strategy" Here is the question: If 9 less than the

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Question 54419This question is from textbook Glencoe Pre-Algebra
: Hi,
My son has an algebra question I found difficult to help him with. Please help us. I understand it is a "Problem-Solving Strategy" Here is the question:
If 9 less than the product of a number and -4 is greater than 7, which of the following could be that number?
a. 5, b. 4, c. -3, d. -5
Please explain the answer to us.
Thank you,
Kathy This question is from textbook Glencoe Pre-Algebra

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
From the problem description, you can write,
If n is the required number, then:
%28-4%29%28n%29-9+%3E+7 Simplifying this, you get:
-4n-9+%3E+7 Add 9 to both sides of this inequality:
-4n+%3E+16 Now divide both sides by -4...don't forget to reverse the sign:
n+%3C+-4
The only integer in the list of possible answers that is less than -4 is -5, so answer d is the correct selection.