SOLUTION: 28 is less than 12 more than 8 times a number

Question 584166: 28 is less than 12 more than 8 times a number
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
You can work this problem by starting at the back and moving toward the front. The term "a number" tells you that there is a number of unknown value. You can use X to represent that number.
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Then there is the wording "8 times a number" which you can translate to 8 times X or just 8X.
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Then moving closer to the front you are told "12 more than 8 times a number" which is 12 more than 8X and in algebraic form this is 12 + 8X
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Finally you are told that 28 is less than that. So you can write the inequality:
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28 < 12 + 8X
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You can solve this using rules much like apply to an equation. (An exception to those rules is that if you multiply or divide both sides by a negative number, you reverse the direction of the inequality sign. In this problem, you do not have to worry about that happening.)
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Next, isolate the 8X on the right side by getting rid of the 12 on the right side. Do that by subtracting 12 from both sides to get:
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16 < 8X
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Finally solve the inequality for X by dividing both sides by +8. The result is:
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2 < X
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Since the inequality sign points to the smaller quantity, you can read this as "X is greater than 2" or X > 2. This means that on the number line X can be any value to the right of +2.
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Hope this helps you to understand this inequality problem.
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