If x is zero, is the following true?
2x  13 < 4x  5 < 2x  11
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:
3.95, 3.9, 3.85, 3.8, 3.75, 3.7, 3.65, 3.6, 3.55, 3.5,
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:
2x  13 < 4x  5 8 < 2x x > 4 
4x  5 < 2x  11 2x < 6 x < 3 
So the complete answer is 4 < x < 3
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