If x is zero, is the following true?
2x < 3x + 3 < x + 5
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:
-2.8, -2.6, -2.4, -2.2, -2, -1.8, -1.6, -1.4, -1.2, -1,
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 < 3x + 3
-3 < x
x > -3
|3x + 3 < x + 5
2x < 2
x < 1
So the complete answer is -3 < x < 1
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