If x is zero, is the following true?
3x + 9 < 5x + 1 < 4x + 10
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:
4.25, 4.5, 4.75, 5, 5.25, 5.5, 5.75, 6, 6.25, 6.5,
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 + 9 < 5x + 1 8 < 2x x > 4 
5x + 1 < 4x + 10 x < 9 
So the complete answer is 4 < x < 9
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