If x is zero, is the following true?
4x - 5 < 5x - 2 < 4x - 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:
-2.9, -2.8, -2.7, -2.6, -2.5, -2.4, -2.3, -2.2, -2.1, -2,
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:
|4x - 5 < 5x - 2
-3 < x
x > -3
|5x - 2 < 4x - 3
x < -1
So the complete answer is -3 < x < -1
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