If x is zero, is the following true?
2x  2 < 3x  1 < 2x  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:
0.95, 0.9, 0.85, 0.8, 0.75, 0.7, 0.65, 0.6, 0.55, 0.5,
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  2 < 3x  1 1 < x x > 1 
3x  1 < 2x  1 x < 0 
So the complete answer is 1 < x < 0
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