h2 maths

lin2 SG

does anyone knows why (N+1 C5) < (1000 C5)+1 equals to (N+1 C5) ≤ (1000 C5) ?

wee_ws SG

Hi,

Your question is not properly framed as one inequality cannot be equal to another. However one inequality can imply another, e.g.

ab < 0 => (a > 0 and b < 0) OR (a < 0 and b > 0).

This was the last part of a question you have asked before.

The aim is to find the maximum N for which an inequality is to be satisfied.

You can try various values of N like 998, 999, 1000 and you can verify if the inequality is satisfied or not.

In solving a problem, do note that there may be more than one approach to reach the answer. If one approach does not make sense, ask your teacher to clarify or consider another method that appeals to you because it is better understood.

Thanks.

Cheers,
Wen Shih

Hazel Poa SG

As above, I assume that your "equals to" is actually "implies that".

The reason is because the values are integers, so if A < B +1 then A < or = B.

e.g. A < 5 implies A is less than or equal to 4 if A is an integer.

wee_ws SG

Hi,

It will be much clearer when numbers are used:

5 < 5 + 1 implies 5 <= 5,

4 < 5 + 1 implies 4 <= 5,

-3 < -3 + 1 implies -3 <= -3,

-4 < -3 + 1 implies -4 <= -3.

The key to understanding the abstract is to make it concrete with the substitution of numbers.

Thanks.

Cheers,
Wen Shih

eagle SG

Hi lin,

please read the Guidelines for homework forum and post accordingly:

I) Whenever possible, please post the full questions, including the sub-questions related to the question you are currently attempting

It is indeed tempting to post just part of a question sometimes. However, this leaves out certain critical information about the question that may help us solve it in a faster/more efficient way.

Thanks ")