If x is zero, is the following true?
2x < 3x + 3 < x + 5
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:
2.8, 2.6, 2.4, 2.2, 2, 1.8, 1.6, 1.4, 1.2, 1,
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 < 3x + 3 3 < x x > 3 
3x + 3 < x + 5 2x < 2 x < 1 
So the complete answer is 3 < x < 1
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