If x is zero, is the following true?
2x + 10 < 5x + 1 < 8x - 23
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:
9, 10, 11, 12, 13, 14, 15, 16, 17, 18,
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:
|2x + 10 < 5x + 1
9 < 3x
x > 3
|5x + 1 < 8x - 23
24 < 3x
x > 8
So the complete answer is x > 8
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