Which is bigger, n+10 or 2n+3? Can you find a good method of answering similar questions?
You may wish to explore the problem Which Is Cheaper? before working on this task.
Which is bigger, n+10, or 2n+3?
How did you decide?
Here’s how I decided:
But then my friend said:
Can you explain why we have come to different conclusions?
Is there a diagram you could draw that would help?
For the following pairs of expressions, can you work out when each expression is bigger?
- Find two expressions so that one is bigger whenever n<5 and the other is bigger whenever n>5.
- Find three expressions so that the first is biggest whenever n<0, the second is biggest whenever n is between 0 and 4, and the third is biggest whenever n>4.
- Find three expressions so that the first is biggest whenever n<3, the second is biggest when n>3, and the third is never the biggest.
- Find three expressions so that one of them is the biggest regardless of the value of n.
Age 14 to 16