If x is zero, is the following true?
3x - 4 < 5x - 4 < 8x - 16
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:
5, 6, 7, 8, 9, 10, 11, 12, 13, 14,
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:
|3x - 4 < 5x - 4
0 < 2x
x > 0
|5x - 4 < 8x - 16
12 < 3x
x > 4
So the complete answer is x > 4
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