If x is zero, is the following true?
2x + 4 < 4x + 2 < 2x + 8
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:
1.1, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 2,
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 < 4x + 2
2 < 2x
x > 1
|4x + 2 < 2x + 8
2x < 6
x < 3
So the complete answer is 1 < x < 3
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