If x is zero, is the following true?
8x - 6 < 5x < 2x + 21
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:
1, 0, -1, -2, -3, -4, -5, -6, -7, -8,
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:
|8x - 6 < 5x
3x < 6
x < 2
|5x < 2x + 21
3x < 21
x < 7
So the complete answer is x < 2
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