If x is zero, is the following true?
x - 2 < 3x + 2 < 4x
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, 4, 5, 6, 7, 8, 9, 10, 11, 12,
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:
|x - 2 < 3x + 2
-4 < 2x
x > -2
|3x + 2 < 4x
2 < x
x > 2
So the complete answer is x > 2
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