Question 584166
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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