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"
How did you use this starter? Can you suggest
how teachers could present or develop this resource? Do you have any comments? It is always useful to receive
feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.
Click here to enter your comments.
If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:
This starter has scored a mean of 2.9 out of 5 based on 139 votes.
Previous Day  This starter is for 10 May  Next Day
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
Note 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.
Teacher, do your students have
access to computers? 

Here is the URL for a concise version of this page without comments or answers.
Here is the URL which will take them to a related student activity.
Transum.org/go/?to=Inequalities
Try Level 7
Christmas Present Ideas
Seasonal, mathematicsrelated gifts chosen and recommended by Transum Mathematics