Theory Flashcards
1
Q
|p – q| meaning
A
is the distance between numbers p & q on the number line. That is a HUGE idea.
2
Q
what does the expression |x – 5| < 2 tell us?
A
Immediately, just thinking about this logic, and without any further calculations, we can see that |x – 5| < 2 is entirely equivalent to 3 < x < 7.
3
Q
When is the product for a given sum of two numbers maximized?
A
There is a property saying that for given sum of two numbers, their product is maximized when they are equal.
e.g.
x+y = 8
26= 12
35=15
4*4=16
4
Q
what is the implication of ?
x^2
A
They both mean 0 < x < 1
5
Q
Factor foundation rule
A
If a is a factor of b, and b a factor of c, then a is a factor of c
