I need to do homework that involves problems that consist of this material. Could someone help explain this for me?

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6n>12; divide through by 6: n>2.

This is an inequality and is solved in a similar way to equations, but you need to be more careful.

If 6 times a number gives a result bigger than 12, how big must the number be? The answer is, it must be bigger than 2. That’s what the question means. So if we think of any number bigger than 2, let’s say 3, then 6 times it must be bigger than 12. 6 times 3 is 18, which is bigger than 12.

If we take a number less or equal to 2, let’s pick 2 itself, then is 6 times 2 less than 12? No! And neither is 2 less than 2, so we would not expect the inequality to be satisfied.

by Top Rated User (616k points)

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