If x is zero, is the following true?
2x + 4 < 3x < x + 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 not true.
Here are ten values of x which make the statement true:
4.05, 4.1, 4.15, 4.2, 4.25, 4.3, 4.35, 4.4, 4.45, 4.5,
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:
|2x + 4 < 3x
4 < x
x > 4
|3x < x + 10
2x < 10
x < 5
So the complete answer is 4 < x < 5
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