If x is zero, is the following true?
4x - 2 < 3x - 1 < 2x + 1
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 true.
Here are ten values of x which make the statement true:
0, -1, -2, -3, -4, -5, -6, -7, -8, -9,
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 - 2 < 3x - 1
x < 1
|3x - 1 < 2x + 1
x < 2
So the complete answer is x < 1
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