If x is zero, is the following true?
8x + 6 < 7x + 4 < 4x + 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:
-3, -4, -5, -6, -7, -8, -9, -10, -11, -12,
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:
|8x + 6 < 7x + 4
x < -2
|7x + 4 < 4x + 10
3x < 6
x < 2
So the complete answer is x < -2
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