If x is zero, is the following true?
12x + 23 < 7x + 3 < 5x + 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 not true.
Here are ten values of x which make the statement true:
-5, -6, -7, -8, -9, -10, -11, -12, -13, -14,
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:
|12x + 23 < 7x + 3
5x < -20
x < -4
|7x + 3 < 5x + 5
2x < 2
x < 1
So the complete answer is x < -4
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