If x is zero, is the following true?
2x  1 < 3x + 2 < 6x  1
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:
2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
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:
2x  1 < 3x + 2 3 < x x > 3 
3x + 2 < 6x  1 3 < 3x x > 1 
So the complete answer is x > 1
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