If x is zero, is the following true?
3x + 5 < x - 5 < -2x - 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:
-6, -7, -8, -9, -10, -11, -12, -13, -14, -15,
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 + 5 < x - 5
2x < -10
x < -5
|x - 5 < -2x - 5
3x < 0
x < 0
So the complete answer is x < -5Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.
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