If x is zero, is the following true?
2x - 5 < 3x - 3 < x - 3
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:
-1.9, -1.8, -1.7, -1.6, -1.5, -1.4, -1.3, -1.2, -1.1, -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 - 5 < 3x - 3
-2 < x
x > -2
|3x - 3 < x - 3
2x < 0
x < 0
So the complete answer is -2 < x < 0
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