If x is zero, is the following true?
x - 15 < 3x - 5 < x - 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:
-4.75, -4.5, -4.25, -4, -3.75, -3.5, -3.25, -3, -2.75, -2.5,
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 - 15 < 3x - 5
-10 < 2x
x > -5
|3x - 5 < x - 5
2x < 0
x < 0
So the complete answer is -5 < x < 0
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