If x is zero, is the following true?
x + 7 < 4x - 2 < x + 22
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:
3.25, 3.5, 3.75, 4, 4.25, 4.5, 4.75, 5, 5.25, 5.5,
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 + 7 < 4x - 2
9 < 3x
x > 3
|4x - 2 < x + 22
3x < 24
x < 8
So the complete answer is 3 < x < 8
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