If x is zero, is the following true?
3x + 4 < 4x + 4 < 2x + 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:
0.15, 0.3, 0.45, 0.6, 0.75, 0.9, 1.05, 1.2, 1.35, 1.5,
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:
|3x + 4 < 4x + 4
0 < x
x > 0
|4x + 4 < 2x + 10
2x < 6
x < 3
So the complete answer is 0 < x < 3
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