If x is zero, is the following true?
3x < 4x + 4 < 2x + 6
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 true.
Here are ten values of x which make the statement true:
3.75, 3.5, 3.25, 3, 2.75, 2.5, 2.25, 2, 1.75, 1.5,
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 < 4x + 4 4 < x x > 4 
4x + 4 < 2x + 6 2x < 2 x < 1 
So the complete answer is 4 < x < 1
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