If x is zero, is the following true?
9x - 7 < 6x + 2 < 5x + 10
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:
2, 1, 0, -1, -2, -3, -4, -5, -6, -7,
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:
|9x - 7 < 6x + 2
3x < 9
x < 3
|6x + 2 < 5x + 10
x < 8
So the complete answer is x < 3
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