If x is zero, is the following true?
5x  4 < 6x  5 < 9x  23
In the back of your books write down at least 10 values of x which satisfy this inequality statement.
"<" means "is less than"
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When x is zero the statement is not true.
Here are ten values of x which make the statement true:
7, 8, 9, 10, 11, 12, 13, 14, 15, 16,
there are of course many other values which make the statement true.
An inequality like this can be solved by splitting it into two parts:
5x  4 < 6x  5 1 < x x > 1 
6x  5 < 9x  23 18 < 3x x > 6 
So the complete answer is x > 6
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