If x is zero, is the following true?
3x  13 < 6x  1 < 3x  4
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:
3.85, 3.7, 3.55, 3.4, 3.25, 3.1, 2.95, 2.8, 2.65, 2.5,
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:
3x  13 < 6x  1 12 < 3x x > 4 
6x  1 < 3x  4 3x < 3 x < 1 
So the complete answer is 4 < x < 1
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