The solution(s) of a system of linear equations give points of intersection of specific lines or planes.

The solution(s) of a system of linear inequalities give areas of intersection wherein any specific pair of points or lines are solutions.

PROCESS-WISE there are little differences between solving systems. However, multiplication and division by negatives reverses the signs in inequalities.

4 0

2 years ago

If n is a rational number then n2 is always less than n

stiv31 [10]

That easiliy false. You can prove this by observing that all integers are, in particular, rational numbers. So, for instance, you can think of 4 as $\frac{4}{1}$ , so $4 \in \mathbb{Z}\subset\mathbb{Q}$

And obviously, you have $4^2=16>4$

It is true that the square of every rational number between 0 and 1 is smaller than the number itself.

But since not all rational numbers are between 0 and 1, the general claim is false.

6 0

3 years ago