If x is zero, is the following true?
5x + 5 < 7x + 3 < 6x + 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:
1.05, 1.1, 1.15, 1.2, 1.25, 1.3, 1.35, 1.4, 1.45, 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:
|5x + 5 < 7x + 3
2 < 2x
x > 1
|7x + 3 < 6x + 5
x < 2
So the complete answer is 1 < x < 2
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