If x is zero, is the following true?
12x + 23 < 7x + 3 < 5x + 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:
5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
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:
12x + 23 < 7x + 3 5x < 20 x < 4 
7x + 3 < 5x + 5 2x < 2 x < 1 
So the complete answer is x < 4
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