If x is zero, is the following true?
x  15 < 3x  5 < 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 not true.
Here are ten values of x which make the statement true:
4.75, 4.5, 4.25, 4, 3.75, 3.5, 3.25, 3, 2.75, 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:
x  15 < 3x  5 10 < 2x x > 5 
3x  5 < x  5 2x < 0 x < 0 
So the complete answer is 5 < x < 0
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